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For the following G.P.s, find Sn 3, 6, 12, 24, ... - Mathematics and Statistics

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Question

For the following G.P.s, find Sn

3, 6, 12, 24, ...

Sum

Solution

3, 6, 12, 24, …

Here, a = 3, r = `6/3` = 2 > 1

Sn = `("a"("r"^"n" - 1))/("r" - 1)`, for r > 1

∴ Sn = `(3(2^"n" - 1))/(2 - 1)`

Sn = 3(2n – 1)

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Chapter 2: Sequences and Series - Exercise 2.2 [Page 31]

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