Question

The number which should be added to 2, 14 and 62 so that the resulting numbers are in G.P. is ___.

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is B

2

Let $x$ be the number added to the given numbers so that the resulting numbers form a G.P..

Thus, $x+2,x+14,x+62$ are in G.P.

$\Rightarrow (x+14{)}^2=(x+2\left)\right(x+62)$

$\Rightarrow x^2+196+28x=x^2+64x+124$

$\Rightarrow 36x=72\Rightarrow x=2$