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If `x_1,x_2,x_3,...` are positive numbers in G.P then `logx_n, logx_(n+1), logx_(n+2)` are in

A

A.P

B

G.P

C

H.P

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
We have,
`x_(n), x_(n+1), x_(n+2)` in G.P.
`rArr x_(n+1)^(2) = x_(n)x_(n+2)`
`rArr 2"log"x_(n+1) = "log"x_(n) + "log"x_(n+2)`
`rArr "log"x_(n), "log"x_(n+1), "log"x_(n+2)` are in A.P.
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OBJECTIVE RD SHARMA ENGLISH-LOGARITHMS-Section I - Solved Mcqs
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