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.
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
Related questions
Question
![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:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fadc339b9-91b3-4265-b64b-96a8de6a19de%2F23db2f3d-836c-4cab-954e-0f502f29ea41%2F2e0svnf_processed.jpeg&w=3840&q=75)
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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