A geometric progression has first term 9 and common ratio

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

Problem

A geometric progression has first term 9 and common ratio −3-3. Each term is multiplied by −13-\dfrac{1}{3} to obtain a new geometric progression. (i) Find the first term of the new progression. (ii) Find its common ratio.

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