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For a G.P. if a = 2, r = 3, Sn = 242 find n - Mathematics and Statistics

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Question

For a G.P. if a = 2, r = 3, Sn = 242 find n

Sum

Solution

a = 2, r = 3, Sn = 242

Sn = a(rn-1r-1), for r > 1

∴ 242 = 2(3n-13-1)

∴ 242 = 3n – 1

∴ 3n = 243

∴ 3n = 35

∴ n = 5

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

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