In a geometric progression the ratio of the second term to the fifth term is (1:8 )…

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

Problem

In a geometric progression the ratio of the second term to the fifth term is 1:81:8 and the eleventh term is 768. (a) Find the common ratio. (b) Obtain the first term. (c) Evaluate the product a4 a8a_4\,a_8.

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