For an arithmetic progression with first term and non-zero common difference

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

Problem

For an arithmetic progression with first term aa and non-zero common difference dd, the sum of the first nn terms is zero for some integer n>1n>1. Which one of the following relations between a,d,a,d, and nn must be true? (a) a+(n−1)d=0a + (n-1)d = 0 (b) 2a+nd=02a + nd = 0 (c) 2a+(n−1)d=02a + (n-1)d = 0 (d) a+nd=0a + nd = 0

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