(Q31).Find x so that x, x + 2, x + 6 are consecutive terms of a geometric progression.

Given x, x + 2 and x + 6 are in G.P. but read it as x, x + 2 and x + 6.

∴ r =
t2
t1
 =
t3
t2
⇒
x+
 =
x+
x+

⇒(x + )2 = (x + )

⇒ x2 + x + = x2 + x

⇒ x – x = – = -x = -

∴ x =