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If the 10^(th), 15^(th), 25^(th) term of...

If the `10^(th), 15^(th), 25^(th)` term of an arithmetic progression are in geometric progression then the common ratio of geometric progression is (common difference of arithmetic progression `ne 0`) :

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The correct Answer is:
`2.00`

`r=(T_(15))/(T_(10))=(T_(25))/(T_(15))`
`rArr (T_(15)-T_(25))/(T_(10)-T_(15))=((a+14d)-(a+24d))/((1+9d)-(a+14d))=2`
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