The Fibonacci numbers are defined by fi = fz = 1 and fn+1 = fn+ fn-1 for n > 2. (a) Prove that god(fn+2,fn) =1 for all n E N. %3D

Q: Where did the 10>0 and -10<0 come from? And does NEGATIVE (1hr) exist?

A: Remember the double derivative test : If t=a is the critical point of y=f(t) then (i) If f''(a)&lt;0…

Q: Does the symbol for infinity (q) represent a real number?

A: Yes, the symbol for infinity (∞) represents a real number.  Infinity (∞) means a very big number.…

Q: Why k(k+1) is an even number?

A: We have to tell just  that why k(k+1) is an even number.Here we considering that you understood  the…

Q: expression is of the second degree

A: INTRODUCTION: The topic of simplification and approximation is one in every of the best within the…

Q: When multiplied out, what are the first 4 terms of (x + 3y)0?

A:

Q: Find a Rational number between 1/4 and 1/3

A: We will use basic knowledge of rational numbers to answer this question.

Q: =D Write a recursive rule for a= 6(2)"-1

A:

Q: evaluatethe expressions.(b) 811/2

A: Given,          8112

Q: What is the value of 7∑n=1(n2+3)?

A:

Q: Find the product of the real numbers  7/19*12/331*(-38/7)=

A: First we multiply the numerators and the denominators straight away, then we reduce the fraction.…

Q: Find dr for 8719,719 = 3.

A:

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: (x/x-3 ≤-7 or x − 3 ≥ −6] terval notation.

A:

Q: Express the following statement using N-notation.: 12 (3x + 4) for all real numbers x > 2. x + 2

A: Consider the given statement.

Q: n=2 n (2n — 1)!

A: The given expression is an infinite summation, where the indexing variable "n" starts from 2 and…

Q: First train leaves at 11:30 am. Second leaves at 12:30pm. The answer focuses on 0.50t. Can you show…

A:

Q: Express the expression 5.x² * in into Sigma notation.

A: The binomial expansion:a+bn can be expressed in Sigma notation as: a+bn=∑r=0nnr an-rbr.

Q: Find a counter example for the following: For all integers x, if 12 | x^2 then 12 | x.

A: To find a counterexample for the statement "For all integers x, if 12 | x^2 then 12 | x," we need to…

Q: Find 1- fext=/4+|3*

A: To solve this question we need have some standard formulas of differentiation

Q: How does x over 3-1 change into x-3 over 3, is it a rule?

A:

Q: Solve for real x the equation 9* + 6* = 4*

A:

Q: A population of 10 rabbits quadruples in size in 6 months. How long will it take until there are 150…

A:

Q: Differentiate the following: (a) (2x – 1)*. (b)(5x + 1)* (3 – 2x)* -

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Q: 12. (2 + 5z)e/3 dr

A:

Q: Expand and simplify the expression: (x² + e-2x In (e*+1) ex

A:

Q: Evaluate 00 x²dx 1 – 2cos20 x² + x4 -00 where 0 < 0 <T/2. Please also make comments.

A: We can solve this integral by integration method

Q: Find an odd integer o written as an expression using the variable k with the property that when f is…

A: Here we have given a mapping  which proves that both the sets have same cardinality.

Q: 22/3÷32/4

A: We need to find 223÷324

Q: Which of the following represents 28=7times 4

A: Which of the following represents 28=7times 4

Q: Leonhard Euler approached negative numbers by describing how they "ought to" behave arithmetically…

A:

Q: Use rounding to 6 digits and compute each of the following: Q2- d) P(.01), where P(x) = (exp(x)…

A: We need to use 6 digits rounding to evaluate the expression: P(x)=ex-1-xx2 for x=0.01. We need to…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.