The 6th term in the GP 2, 8, 32, …………….. is A) 512 B) 128�

1.	The 6th term in the GP 2, 8, 32, …………….. is A) 512 B) 128 C) 2048 D) 256
Answer» Correct option is (C) 2048 Given G.P. is 2, 8, 32, ....... \(\therefore a_1=a=2,a_2=8\) \(r=\frac{a_2}{a_1}=\frac82=4\) \(\therefore a_6=ar^5=2.4^5\) \(=2.1024=2048\) Hence, \(6^{th}\) term of given G.P. is 2048. Correct option is C) 2048

The 6th term in the GP 2, 8, 32, …………….. is A) 512 B) 128 C) 2048 D) 256

Answer»

Given G.P. is 2, 8, 32, .......

\(\therefore a_1=a=2,a_2=8\)

\(r=\frac{a_2}{a_1}=\frac82=4\)

\(\therefore a_6=ar^5=2.4^5\)

\(=2.1024=2048\)

Hence, \(6^{th}\) term of given G.P. is 2048.

Correct option is C) 2048