Evaluate where is a positive integer.

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Evaluate ∑k=22n+18 \displaystyle\sum_{k=2}^{2n+1} 8\, where nn is a positive integer. (a) 8n8n (b) 8(2n−1)8(2n-1) (c) 16n16n (d) 8(2n+1)8(2n+1)

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