2. Prove that for all positive integers n, 2 2 1² + 2² -3² a. 2 + + + n = Show it is true for n = 1. Show your work here: Show your work here: … b. Assume it is true for n=k. n(n+1)(2n+1) 6 Show your work here: C. Prove it is true for k + 1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 35E
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2. Prove that for all positive integers n,
2
1² +2²
a.
2
2
+ -3² + + n =
Show it is true for n = 1.
Show your work here:
b. Assume it is true for n=k.
Show your work here:
n(n+1)(2n+1)
6
C. Prove it is true for k + 1.
Show your work here:
Transcribed Image Text:2. Prove that for all positive integers n, 2 1² +2² a. 2 2 + -3² + + n = Show it is true for n = 1. Show your work here: b. Assume it is true for n=k. Show your work here: n(n+1)(2n+1) 6 C. Prove it is true for k + 1. Show your work here:
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