Progression (Sequence and Series)Medium
Question
If x, y, z are in A.P. and tan-1x, tan-1y and tan-1z are also in A.P., then
Options
A.x = y = z
B.2x = 3y = 6z
C.6x = 3y = 2z
D.6x = 4y = 3z
Solution
2y = x + z
and 2tan-1y = tan-1x + tan-1z
⇒ 
⇒ y2 = zx
⇒ x = y = z
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