TASK 3The Persian mathematician Al-Karaji (953-1029) computed the first description of Pascal's triangle given below.It was later repeated by the Persian poet-astronomer-mathematician Omar Khayyám (1048-1131); thus thetriangle is also referred to as the Khayyam triangle in Iran.11 11 2 11 3 3 11 4 6 4 115 10 10 5 11 6 15 20 15 6 11 7 21 35 35 21 7 1The Pascal's triangle determines the coefficients which arise in binomial expressions. For example, consider theexpansion(x + y)? = x² + 2xy + y = 1x³y® + 2x'y' + 1x®y?.The coefficients of the terms are in the third row of the triangle. As a general approach, In general, when x + y israised to a positive integer power we have:(x + y)" = aox" + ax-ly + azx"-?y² + ... + an-1xy-1 + any",where the coefficients a; in this expansion are precisely the numbers on row (n+1) of Pascal's triangle. Each rowof the triangle can be computed by adding the pairs of numbers in the previous row from left to right. Write,Compile and Execute a Java program that prints the Pascal's triangle given above.

Create function Pascal triangle 1. run loop row = 0 to n i. run loop from col = 0 to row + 1…

The Persian mathematician Al-Karaji (953-1029) computed the first description of Pascal's triangle given below. It was later repeated by the Persian poet-astronomer-mathematician Omar Khayyám (1048-1131); thus the triangle is also referred to as the Khayyam triangle in Iran.

The Persian mathematician Al-Karaji (953-1029) computed the first description of Pascal's triangle given below. It was later repeated by the Persian poet-astronomer-mathematician Omar Khayyám (1048-1131); thus the triangle is also referred to as the Khayyam triangle in Iran.

Computer Networking: A Top-Down Approach (7th Edition)

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Author:James Kurose, Keith Ross

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Chapter1: Computer Networks And The Internet

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Question

TASK 3
The Persian mathematician Al-Karaji (953-1029) computed the first description of Pascal's triangle given below.
It was later repeated by the Persian poet-astronomer-mathematician Omar Khayyám (1048-1131); thus the
triangle is also referred to as the Khayyam triangle in Iran.
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
15 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
The Pascal's triangle determines the coefficients which arise in binomial expressions. For example, consider the
expansion
(x + y)? = x² + 2xy + y = 1x³y® + 2x'y' + 1x®y?.
The coefficients of the terms are in the third row of the triangle. As a general approach, In general, when x + y is
raised to a positive integer power we have:
(x + y)" = aox" + ax-ly + azx"-?y² + ... + an-1xy-1 + any",
where the coefficients a; in this expansion are precisely the numbers on row (n+1) of Pascal's triangle. Each row
of the triangle can be computed by adding the pairs of numbers in the previous row from left to right. Write,
Compile and Execute a Java program that prints the Pascal's triangle given above.

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