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The sum of first 10 terms of the series ...

The sum of first 10 terms of the series `:`
`(x+(1)/( x))^(2) + ( x^(2) + ( 1)/( x^(2)))^(2) + ( x^(3)+ ( 1)/( x^(3)))^(2) + "......"` is `:`

A

`( (x^(20)-1)/(x^(2) - 1))((x^(22) + 1)/( x^(20))) + 20`

B

`( (x^(18)-1)/(x^(2) - 1))((x^(11) + 1)/( x^(9))) + 20`

C

`( (x^(18)-1)/(x^(2) - 1))((x^(11) - 1)/( x^(9))) + 20`

D

None of these

Text Solution

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The correct Answer is:
A
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MODERN PUBLICATION-SEQUENCES AND SERIES -MCQ ( Level-II)
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  3. The sum of first 10 terms of the series : (x+(1)/( x))^(2) + ( x^(2)...

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