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1.6 Sequences and Series

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Question 8
50%

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

1.6 Sequences and Series Questions

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