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Determine whether the following is true: (a) Vn23, neZ, 31(22¹ - 1); (b) = 12 +22+32+...+n² n(n + 1)(2n + 1) 6 -1), VnEZ, n ≥ 1.

Determine whether the following is true: (a) Vn23, neZ, 31(22¹ - 1); (b) = 12 +22+32+...+n² n(n + 1)(2n + 1) 6 -1), VnEZ, n ≥ 1.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 15E
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Determine whether the following is true: (a) Vn ≥ 3, ne Z, 3|(22n-1); (b) 12 +2²+ 3² + ... + n² = n(n + 1)(2n + 1) 6 VnEZ, n ≥ 1. 2
Transcribed Image Text:Determine whether the following is true: (a) Vn ≥ 3, ne Z, 3|(22n-1); (b) 12 +2²+ 3² + ... + n² = n(n + 1)(2n + 1) 6 VnEZ, n ≥ 1. 2
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