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If the 2nd, 5th and 9th term of A.P. are...

If the 2nd, 5th and 9th term of A.P. are in G.P, then the common ratio of this GP is

A

1

B

`(7)/(4)`

C

`(8)/(5)`

D

`(4)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
`because a+d, a+4d, a+8d"are in GP"(dne 0)`
`:." "(a+4d)^2 =(a+d)(a+8d)`
`rArr" "a=8d`
`:." Common ratio" = (a+4d)/(a+d)=(8d+4d)/(8d+d)=4/3" "(because a = 8d)`
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