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For the G.P., if a = 7243,r=13, find t3. - Mathematics and Statistics

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Question

For the G.P., if a = `7/243, "r" = 1/3`, find t3.

Sum

Solution

Given, a = `7/243, "r" = 1/3`

tn = arn–1

∴ t3 = `7/243 xx (1/3)^(3 - 1)`

= `7/243 xx (1/3)^2`

= `7/243 xx 1/9`

= `7/2187`.

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Sequence and Series - Geometric Progression (G.P.)
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Chapter 4: Sequences and Series - EXERCISE 4.1 [Page 50]

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