Determine the value of .

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

Problem

Determine the value of ∑k=09(−1)k(10k)\displaystyle \sum_{k=0}^{9} (-1)^k {10\choose k}. (a) 00 (b) 11 (c) −1-1 (d) −10-10

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