The successive terms of an arithmetic progression are 30, 25, 20, … .

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

Problem

The successive terms of an arithmetic progression are 30, 25, 20, … . (i) Find all possible values of n for which the sum of the first n terms is 75. (ii) If only positive terms are to be included in the sum, which value of n is appropriate?

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