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