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For the G.P. if r = − 3 and t6 = 1701, find a.

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Question

For the G.P. if r = − 3 and t6 = 1701, find a.

Sum
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Solution

tn = arn−1, where r = − 3

∴ t6 = a(−3)6 −1 = 1701

∴ a(− 3)5 = 1701

∴ − 243a = 1701

∴ a = `(1701)/(-243)`

= − 7

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Chapter 2: Sequences and Series - Exercise 2.1 [Page 27]

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