AP P and AP Q both have the first term 7

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

AP P and AP Q both have the first term 7. The common difference of P is 4, while that of Q is 1. (i) Which progression will have the greater 30th term? (ii) Which progression will have the greater sum of the first 30 terms? Give one short reason for each answer.

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