The first term of geometric sequence is 512 and the common ratio is 0.5 what is the 8th term of the sequence?

1 Answer
May 14, 2018

The 8^(th) term of the seqn, is : a_8=4

Explanation:

We know that,

the n^(th) term of geometric sequeence is:

a_n=a_1 r^(n-1)

where a_1 is first term and r is common ratio.

We have, a_1=512 and r=0.5=1/2

So, the 8^(th) term of the seqn, is :

a_8=a_1(r)^(8-1)

:.a_8=512(1/2)^7=512xx1/128=4