Consider a geometric progression whose first term is 5 and whose common ratio is

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

Problem

Consider a geometric progression whose first term is 5 and whose common ratio is 32\dfrac{3}{2}. Answer the following questions, showing all necessary working: (i) Find the sum of the first eight terms. (ii) Determine the smallest positive integer nn such that the sum of the first nn terms exceeds 2 0002\,000.

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