An arithmetic progression has first term 5 and common difference 4

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

Problem

An arithmetic progression has first term 5 and common difference 4, while a geometric progression has first term 5 and common ratio 3. (i) Find the sum of the first 6 terms of the AP. (ii) Find the sum of the first 6 terms of the GP. (iii) Determine the ratio SAPSGP\dfrac{S_{AP}}{S_{GP}} in its simplest form.

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