A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Question

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Answer 1

Question

Chapter 10, Problem 10.1P

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Expert Solution & Answer

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

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Answer 2

Question

Chapter 10, Problem 10.1P

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Expert Solution & Answer

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 10, Problem 10.1P

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Expert Solution & Answer

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 10, Problem 10.1P

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Expert Solution & Answer

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 10, Problem 10.1P

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Expert Solution & Answer

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

Answer 6

Chapter 10, Problem 10.1P

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Expert Solution & Answer

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

Answer 7

Chapter 10, Problem 10.1P

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Answer 8

Expert Solution & Answer

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

Answer 12

Ch. 10 - Prob. 10.1P Ch. 10 - Prob. 10.2P Ch. 10 - Prob. 10.3P Ch. 10 - Prob. 10.4P Ch. 10 - Prob. 1E Ch. 10 - Prob. 2E Ch. 10 - Prob. 3E Ch. 10 - Prob. 4E Ch. 10 - Prob. 6E Ch. 10 - Prob. 7E

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Concept explainers

Videos

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Answer to Problem 10.1P

Explanation of Solution

Want to see more full solutions like this?

Chapter 10 Solutions

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Concept explainers

Videos

To write: A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Answer to Problem 10.1P

Explanation of Solution

Want to see more full solutions like this?

Chapter 10 Solutions

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.