Question

In January, you deposit $16 in your checking account. Each month, you deposit $15 more than you did the month before. How much money do you deposit in October?

Answer 1

you would put 151 dollars in your account at October.
16+15+15+15+15+15+15+15+15+15=151

Answer 2

$151

Explanation:

This problem is about a arithmetic sequence, which is obtained by summing a term which is called "difference". In this case, we need to find the tenth term of the arithmetic sequence, because that's the term assigned for October. The formula of an arithmetic sequence is

`a_(n)=a_(1)+(n-1)d`

Where:

`n=10\\a_(1)=16\\d=15`

Replacing values, we have

`a_(10)=16+(10-1)15=151`

Therefore, on October you will have $151 if you deposit $15 more each month, beginning with $16.