In a geometric progression with positive terms

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

Problem

In a geometric progression with positive terms, the nth term is 32 and the sum of the first n terms is 62. (i) Prove that n must be 5. (ii) Hence determine the first term and the common ratio. (iii) Using the result, find the value of the (n+2)th term.

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