In an arithmetic progression

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

Problem

In an arithmetic progression, the 44th term is 2k−12k-1 and the 1010th term is 5k+55k+5. Which of the following gives the first term aa and common difference dd? (a) (k+22,  k−82)\left(\dfrac{k+2}{2},\;\dfrac{k-8}{2}\right) (b) (k−235,  3k+65)\left(\dfrac{k-23}{5},\;\dfrac{3k+6}{5}\right) (c) (k−82,  k+22)\left(\dfrac{k-8}{2},\;\dfrac{k+2}{2}\right) (d) (k−8,  k+2)(k-8,\;k+2)

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