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Recursive Thinking: Given the following formula for sequence gi, 92; 93, ·., write a recursive function that calculate n-th term fo the sequence: 9i = 3, g2 = 5 In = 3gn-1 – 2gn-2, for all integers n > 3 (1) (2) /* Calculate n-th term of sequence g defined above @param n: the position of the term to calculate, n>=1 @return g_n where g_n is defined as the formula above */ int CalG(int n)

Recursive Thinking: Given the following formula for sequence gi, 92; 93, ·., write a recursive function that calculate n-th term fo the sequence: 9i = 3, g2 = 5 In = 3gn-1 – 2gn-2, for all integers n > 3 (1) (2) /* Calculate n-th term of sequence g defined above @param n: the position of the term to calculate, n>=1 @return g_n where g_n is defined as the formula above */ int CalG(int n)

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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Recursive Thinking: Given the following formula for sequence g1, 92, 93, …., write a recursive function that calculate n-th term fo the sequence: (1) (2) 9i 3, 92 = 5 In = 39n-1 - 2gn-2, for all integers n > 3 /* Calculate n-th term of sequence g defined above @param n: the position of the term to calculate, n>=1 @return g_n where g_n is defined as the formula above */ int CalG(int n)
Transcribed Image Text:Recursive Thinking: Given the following formula for sequence g1, 92, 93, …., write a recursive function that calculate n-th term fo the sequence: (1) (2) 9i 3, 92 = 5 In = 39n-1 - 2gn-2, for all integers n > 3 /* Calculate n-th term of sequence g defined above @param n: the position of the term to calculate, n>=1 @return g_n where g_n is defined as the formula above */ int CalG(int n)
Expert Solution
Step 1

Given recursive function is,

gn=3gn-1-2gn-2, n≥3g1=3, g2=5

For simplification consider,

gn-gn-1=2(gn-1-gn-2)

If we substitute this again and again we get, 

gn-gn-1=2n-2(g2-g1)

=2n-2(5-3)=2n-1

 

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