# How do you find #a_100# when #a_1=-30#, d=5?

##### 1 Answer

Aug 1, 2017

#### Answer:

#### Explanation:

Since this problem uses

The general formula for an arithmetic sequence is

Since we already know that

#a_n=a_1+(n-1)d#

#a_n=-30+(n-1)5#

To find

#a_100=-30+(100-1)5#

Now, we can simplify.

#a_100=-30+(99)(5)#

#a_100=-30+495#

#a_100=465#