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 for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 49PS
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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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