Choose the sigma notation equivalent to the alternating series .

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

Problem

Choose the sigma notation equivalent to the alternating series 1−2+3−4+5−61 - 2 + 3 - 4 + 5 - 6. (a) ∑k=16(−1)kk\displaystyle\sum_{k=1}^{6} (-1)^{k} k (b) ∑k=05(−1)k+1(k+1)\displaystyle\sum_{k=0}^{5} (-1)^{k+1} (k+1) (c) ∑k=16(−1)k+1k\displaystyle\sum_{k=1}^{6} (-1)^{k+1} k (d) ∑k=15(−1)k+1k\displaystyle\sum_{k=1}^{5} (-1)^{k+1} k

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