In a G.P., the 2nd term is 18 and the 8th term is…

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

Problem

In a G.P., the 2nd term is 18 and the 8th term is 5832. (i) Find the first term and the common ratio. (ii) Obtain the general term ana_n of the progression. (iii) Find the least positive integer nn for which ana_n exceeds 1 000 0001\,000\,000.

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