If `a, b and c` are positive numbers in arithmetic progression and `a^(2), b^(2) and c^(2)` are in geometric progression, then `a^(3), b^(3) and c^(3)` are in
(A) arithmetic progression.
(B) geometric progression.
(C) harmonic progression.

Options

A. (A) and (B) only
B. only (C )
C. (A), (B) and (C )
D. only (B)

Answer

C

Explanation

Use `b= (a+c)/(2) and (b^(2))^(2) = a^(2)c^(2)`.