Question

in a gp,the first term is 5 and common ratio is 2 .what is the 8th term​

Answer 1

Answer:

According to question, nth term of a GP = arn−1

∴ 8th term = 5× (2)8−1

=5× (2)7 = 5×128=640

Answer 2

The 8th term of the G.P. is 640.

Explanation:

The nth term in Geometric progression(G.P.) is given by :-

$a_n=ar^{n-1}$               (1)

, where a = First term

r= Common ratio

We are given that In a GP,the first term is 5 and common ratio is 2 .

To find nth term of GP , substitute a=5 and r= 2 in (1) m, we get

$a_n=5(2)^{n-1}$

At n= 8 , $a_8=5(2)^{8-1}=5(2)^{7}=5(128)=640$

Therefore , the 8th term of the G.P. is 640.

# Learn more :

Find the 12th term of a GP. whose 8th term is 192 and the common ratio is 2.

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