A convergent geometric series has first term a and common ratio r The second term of the series is 3 and the sum to infinity of the series is 6 75 a Show that 27r 2 27r 12 0 b Given that the series is convergent, find the value of r c Find the sum of the first 5 terms of the series, giving your ans...

Lets solve this step by step a The formula for the sum of an infinite geometric series is given by S ...

A convergent geometric series has first term a and common ratio r. The second term of the

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A convergent geometric series has first term a and common ratio r. The second term of the series is −3 and the sum to infinity of the series is 6.75.

a. Show that 27r² − 27r − 12 = 0.

b. Given that the series is convergent, find the value of r.

c. Find the sum of the first 5 terms of the series, giving your answer to 2 decimal places.

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

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Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

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Question Posted: Aug 08, 2023 07:58 AM

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A convergent geometric series has first term a and common ratio r. The second term of the

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

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