An arithmetic progression has its 8th term exceeding its 4th term by 20

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

An arithmetic progression has its 8th term exceeding its 4th term by 20, and its 12th term is 6 more than twice its first term. (i) Form the two equations in the first term aa and the common difference dd that are implied by the given information. (ii) Hence determine the values of aa and dd. (iii) For this progression, find the term number whose value is 126126.

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