- Show that:

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

- Show that: (1) ∑k=1nc=cn\sum_{k=1}^{n} c = cn (2) ∑k=1ncak=c∑k=1nak\sum_{k=1}^{n} ca_k = c \sum_{k=1}^{n} a_k (3) ∑k=1n(ak+bk)=∑k=1nak+∑k=1nbk\sum_{k=1}^{n} (a_k + b_k) = \sum_{k=1}^{n} a_k + \sum_{k=1}^{n} b_k

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