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Using any CAS or programming language

Using any CAS or programming language

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Using any CAS or programming language

4. Consider a user-defined function triangle () that computes the nh triangular number for a given integer n 20: A(n) = 1+2+ 3+ · · + (n – 1) + n. %3D | This function gives the number of billiard balls required to form a rack (or the number of bowling pins required to form a frame) in the shape of an equilateral triangle. (a) Implement the function triangle() using recursion in order to perform the repeated additions.
Transcribed Image Text:4. Consider a user-defined function triangle () that computes the nh triangular number for a given integer n 20: A(n) = 1+2+ 3+ · · + (n – 1) + n. %3D | This function gives the number of billiard balls required to form a rack (or the number of bowling pins required to form a frame) in the shape of an equilateral triangle. (a) Implement the function triangle() using recursion in order to perform the repeated additions.
using this formula. ztnt: Note that A(n) is defined as the sum of n numbers, the average value of which is given by A(n)/n. Using your function from part (a), examine this average for the first few values of n. Based on these observations, you should be able to empirically find algebraic expressions first for the average value, and then for A(n). (c) Check that your answer to part (b) is correct by asking Marima to verify that triangle(n) – triangle(n - 1).
Transcribed Image Text:using this formula. ztnt: Note that A(n) is defined as the sum of n numbers, the average value of which is given by A(n)/n. Using your function from part (a), examine this average for the first few values of n. Based on these observations, you should be able to empirically find algebraic expressions first for the average value, and then for A(n). (c) Check that your answer to part (b) is correct by asking Marima to verify that triangle(n) – triangle(n - 1).
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