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Question

If a,b,c are in AP and x,y,z are finite numbers such that x=n=0an,y=n=0bnandz=n=0cn then x,y,z are in

A
AP
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B
GP
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C
HP
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D
Arithmeticogeometricprogression
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Solution

The correct option is C HP
Given that, x=n=0an=11a
and y=n=0bn=11b
and z=n=0cn=11c
Since, a, b, c are in A.P
1a, 1b, 1c are in A.P
11a, 11b, 11c are in H.P
x, y, z are in H.P
Ans: C

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