# How do you write the expression for the nth term of the geometric sequence a_1=500, r=1.02, n=40?

May 20, 2018

${a}_{40} \approx 1082.37 \text{ to 2 dec. places}$

#### Explanation:

$\text{for a geometric sequence the n th term formula is}$

•color(white)(x)a_n=a_1r^(n-1)

$\text{here "a_1=500,r=1.02" and } n = 40$

$\Rightarrow {a}_{40} = 500 {\left(1.02\right)}^{39} \approx 1082.37$