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Consider the following snippet of Java code: int sumHelper(int n int a) { } ' if (n= 0) return a;B else return sumHelper(n-1, a + n*n); int sumSqr(int n) { return sumHelper(n, 0); } Your Task: Prove that for n ≥ 1, sumSqr(n) → 1² +2² + 3² + ... + n². To prove this, use induction to show that sumHelper computes the “right thing." (Hint: How did we prove fact_helper in class?)

Consider the following snippet of Java code: int sumHelper(int n int a) { } ' if (n= 0) return a;B else return sumHelper(n-1, a + n*n); int sumSqr(int n) { return sumHelper(n, 0); } Your Task: Prove that for n ≥ 1, sumSqr(n) → 1² +2² + 3² + ... + n². To prove this, use induction to show that sumHelper computes the “right thing." (Hint: How did we prove fact_helper in class?)

C++ Programming: From Problem Analysis to Program Design
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
Problem 24PE
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Consider the following snippet of Java code: int sumHelper(int n int a) { } ' if (n= 0) return a;B else return sumHelper(n-1, a + n*n); int sumSqr(int n) { return sumHelper(n, 0); } Your Task: Prove that for n ≥ 1, sumSqr(n) → 1² +2² + 3² + ... + n². To prove this, use induction to show that sumHelper computes the “right thing." (Hint: How did we prove fact_helper in class?)
Transcribed Image Text:Consider the following snippet of Java code: int sumHelper(int n int a) { } ' if (n= 0) return a;B else return sumHelper(n-1, a + n*n); int sumSqr(int n) { return sumHelper(n, 0); } Your Task: Prove that for n ≥ 1, sumSqr(n) → 1² +2² + 3² + ... + n². To prove this, use induction to show that sumHelper computes the “right thing." (Hint: How did we prove fact_helper in class?)
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