A-level Maths · Sequences and series

Geometric sum to infinity

Find the common ratio, check |r| < 1, then use S = a/(1 − r) to give an exact value.

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Question 1

A geometric series has first term 1515 and common ratio 56\frac{5}{6}. Find the sum to infinity of the series, giving your answer as an exact fraction or integer.

You can type 4.53, 3.2e-5, 3.2 × 10^-5 or 7/3.

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