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

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Answer 1 · 2017-02-21T14:27:47

$a_8=1/4.$

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, $a_1=4096, r=1/4, n=8.$

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

$:. a_8=1/4.$

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