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: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.4: Multiplying Binomials Mentally
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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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