* 30. Let n and k be integers with 1 ≤ k ≤n. Show that n Σ() ( k=1 k n - 1) = (2n+2)/2 - (2n).

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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Section5.8: Factoring Pattern For X2+bx+c, C Negative
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* 30. Let n and k be integers with 1 ≤ k ≤n. Show that
n
Σ() (
k=1
k
n
-
1) = (2n+2)/2 - (2n).
Transcribed Image Text:* 30. Let n and k be integers with 1 ≤ k ≤n. Show that n Σ() ( k=1 k n - 1) = (2n+2)/2 - (2n).
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