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Find the third term from the end of the G.P. 227,29,23,.........,162. - Mathematics

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Question

Find the third term from the end of the G.P.

`2/27, 2/9, 2/3, .........,162.`

Sum

Solution

Given G.P. : `2/27, 2/9, 2/3, .........,162`

Here,
Common ratio, r =`(2/9)/(2/27)` = 3

Last term, l = 162

∴ 3rd term from an end =`1/r^2`

= `162/(3)^2`

= `162/9`

= 18

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Simple Applications - Geometric Progression
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Chapter 11: Geometric Progression - Exercise 11 (C) [Page 156]

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Selina Mathematics [English] Class 10 ICSE
Chapter 11 Geometric Progression
Exercise 11 (C) | Q 2 | Page 156
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