An arithmetic progression P has first term and common difference

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

Problem

An arithmetic progression P has first term pp and common difference dd, while an arithmetic progression Q has first term qq and common difference ee. If their nnth terms are equal for some positive integer nn, which equation correctly expresses this condition? (a) p+nd=q+(n−1)ep + nd = q + (n - 1)e (b) p+nd=q+nep + nd = q + ne (c) p+(n−1)d=q+(n−1)ep + (n - 1)d = q + (n - 1)e (d) p+(n−1)d=q+nep + (n - 1)d = q + ne

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