Consider the following Python function foo, which takes as input an integer n≥1 and returns a tuple of length 2 of integers: def foo(n): assert n>=1 if n == 1: return (1, 2) else: p, q foo(n-1) return (q + p*n*(n+1), q*n* (n+1)) Homework 4 Prove that for n ≥1, foo(n) → (p,q) such that (Hint: induction on n.) 7 р 1 = 1- 9 n+1 Data Struct.

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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Question
Consider the following Python function foo, which takes as input an integer n≥1 and returns a tuple
of length 2 of integers:
def foo(n):
assert n>=1
if n == 1:
return (1, 2)
else:
p, q foo(n-1)
return (q + p*n*(n+1), q*n* (n+1))
Homework 4
Prove that for n ≥1, foo(n) → (p,q) such that
(Hint: induction on n.)
7
р
1
= 1-
9
n+1
Data Struct.
Transcribed Image Text:Consider the following Python function foo, which takes as input an integer n≥1 and returns a tuple of length 2 of integers: def foo(n): assert n>=1 if n == 1: return (1, 2) else: p, q foo(n-1) return (q + p*n*(n+1), q*n* (n+1)) Homework 4 Prove that for n ≥1, foo(n) → (p,q) such that (Hint: induction on n.) 7 р 1 = 1- 9 n+1 Data Struct.
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