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We know that , if `a_(1),a_(2),….a_(n)` are in A.P and vice versa . If `a_(1),a_(2),…a_(n)`are in A.P and vice versa . If `a_(1),a_(2)….a_(n)` are in A.P with common difference d, then for nay ` (b gt 0)` the numbers `b^(a_(1)),b^(a_(2)),b^(a_(3)),....,b^(a_(n))` are in G.P with common ratio `b^(d)` If `a_(1),a_(2),.....a_(n)` are positive and in G.P with common ratio r , then for any base `b(b gt 0), log_(b) a_(1) , log _(b) a_(2) , ..., log_(b) a_(n) `are in A.P with common difference `log_(b)r`
If a,b,c,d are in G.P and `a^(x) = b^(y) = c^(z) = d^(v)` , then x, y , z , v are in

A

A.P

B

G.P

C

H.P

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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