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Find the 5th term of the G.P. 52,1,......... - Mathematics

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Question

Find the 5th term of the G.P. `5/2, 1, .........`

Sum

Solution

First term (a) = `5/2`

And common ratio (r) = `1/(5/2) = 2/5`

Now tn = arn – 1

`=>` 5th term = t5

= `5/2 xx (5/2)^(5 - 1)`

= `5/2 xx (2/5)^4`

= `(2/5)^3`

= `8/125`

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Simple Applications - Geometric Progression
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Chapter 11: Geometric Progression - Exercise 11 (D) [Page 161]

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Selina Mathematics [English] Class 10 ICSE
Chapter 11 Geometric Progression
Exercise 11 (D) | Q 15 | Page 161
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