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Let an be the nth term of a G.P. of posi...

Let `a_n` be the nth term of a G.P. of positive numbers. Let `sum_(n=1)^(100)a_(2n)=alphaa n dsum_(n=1)^(100)a_(2n-1)=beta` , such that `alpha!=beta` , then the common ratio is `alpha//beta` b. `beta//alpha` c. `sqrt(alpha//beta)` d. `sqrt(beta//alpha)`

A

`(alpha)/(beta)`

B

`(beta)/(alpha)`

C

`((alpha)/(beta))^(1//2)`

D

`((beta)/(alpha))^(1//2)`

Text Solution

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The correct Answer is:
B
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