# How do I find the nth term of the arithmetic sequence for which a_1 =5000 and d=-100?

May 26, 2018

${a}_{n} = 5100 - 100 n$

#### Explanation:

$\text{the n th term of an arithmetic sequence is }$

•color(white)(x)a_n=a_1+(n-1)d

$\text{here "a_1=5000" and } d = - 100$

${a}_{n} = 5000 - 100 \left(n - 1\right) = 5100 - 100 n$