Q. The number which should be added to the numbers 2, 14, 62, so that the resulting numbers may be in GP, is
A) 1
B) 2
C) 3
D) 4
Explanation
(b)
Suppose that the added number be $x,\ then\ x + 2,\ x + 14,\ x + 62$ are in GP.
$\therefore\ (x + 14)^{2} = (x + 2)(x + 62)$
$\Rightarrow \ x^{2} + 196 + 28x = x^{2} + 64x + 124$
$\Rightarrow \ 36x = 72\ \Rightarrow x = 2$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.