Question

How do you find the indicated term of the geometric sequence where `a_1=4096`, r=1/4, n=8?

Answer 1

`a_8=1/4.`

Explanation:

The General `n^(th)` Term `a_n` of a Geom. Seq. is given by,

`a_n=a_1r^(n-1), n in NN.`

In our Example, `a_1=4096, r=1/4, n=8.`

`:. a_8=(4096)(1/4)^(8-1)=4096/4^7=4^6/4^7.`

`:. a_8=1/4.`