How do you write the expression for the nth term of the geometric sequence $a_1=100, r=e^x, n=9$ ?

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Answer 1 · 2018-08-04T11:59:21

$n^(th)term=a_n=100(e^x)^(n-1)$
But
$9^(th)term=a_9=100(e^x)^8$

The $n^(th)$ term of the geometric sequence is :

$color(blue)(a_n=a_1(r)^(n-1)$

Given that ,

$a_1=100,r=e^x and n=9$

$:.n^(th)term=a_n=100(e^x)^(n-1)$

$:.9^(th)term=a_9=100(e^x)^(9-1)=100(e^x)^8$

How do you write the expression for the nth term of the geometric sequence a_1=100, r=e^x, n=9a_1=100, r=e^x, n=9?