Sum of the first 20 terms of the series ...

Sum of the first 20 terms of the series
`1/((2)(4))+((1)(3))/((2)(4)(6))+((1)(3)(5))/((2)(4)(6)(8))+….` is

A

`1/2-1/(2^(40))(""^(40)C_(20))`

B

`1/2-1/(2^(41))(""^(42)C_(21))`

C

`1/2-1/(2^(42))(""^(42)C_(21))`

D

`1/2-1/(2^(43))(""^(40)C_(20))`

Text Solution

Verified by Experts

The correct Answer is:

C

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