Solveeit Logo

Question

Question: If x, 2x + 2, 3x + 3, are first 3 terms of a G.P. then its 4<sup>th</sup> term is –...

If x, 2x + 2, 3x + 3, are first 3 terms of a G.P. then its 4th term is –

A

27

B

–27

C

–27/2

D

27/2

Answer

–27/2

Explanation

Solution

(2x + 2)2 = x(3x + 3)  x = –1, –4  x = – 4 (Qx น –1)

\ Nos are – 4, – 6, – 9

\ a = – 4, r = 3/2

Hence T4 = (– 4) (3/2)3 = –27/2