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1.6.15 Standard formulae for geometric series (A-level only)

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Question 12

A geometric series is a+ar+ar2+…a + ar + ar^2 + \dotsa+ar+ar2+…

Prove that the sum of the first n n\,n terms of the series is

Sn=a(1−rn)1−r S_n = \frac{a(1-r^n)}{1-r} Sn​=1−ra(1−rn)​
[4]

1.6.15 Standard formulae for geometric series (A-level only) Questions

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