The 7th term of an arithmetic progression (AP) is 22 and the 12th term is 37

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

Problem

The 7th term of an arithmetic progression (AP) is 22 and the 12th term is 37. Which one of the following pairs of simultaneous equations correctly relates the first term aa and the common difference dd? (a) a+7d=22,  a+12d=37a+7d=22,\; a+12d=37 (b) a+6d=37,  a+11d=22a+6d=37,\; a+11d=22 (c) a+6d=22,  a+11d=37a+6d=22,\; a+11d=37 (d) a+6d=22,  a+12d=37a+6d=22,\; a+12d=37

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