Progression (Sequence and Series)Hard
Question
If x > 1, y > 1, z > 1 are in GP, then
are in
are inOptions
A.AP
B.HP
C.GP
D.None of these
Solution
Let the common ratio of the GP be r. Then,
y = xr and z = xr2
⇒ ln x + ln r and ln z = x + 2ln r
Let A = 1 + ln x, D = ln r
Then,
and
Therefore,
are in HP.
y = xr and z = xr2
⇒ ln x + ln r and ln z = x + 2ln r
Let A = 1 + ln x, D = ln r
Then,
and
Therefore,
are in HP.Create a free account to view solution
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