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Find the Third Term from the End of the G.P. `2/27, 2/9, 2/3,.........162` - ICSE Class 10 - Mathematics

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Question

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

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

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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Solution Find the Third Term from the End of the G.P. `2/27, 2/9, 2/3,.........162` Concept: Simple Applications - Geometric Progression.
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