A friend opens a savings account by depositing $1000. He deposits an additional $75 into the account each month.

a. What is a rule that represents the amount of money in the account as an arithmetic sequence?
b. How much money is in the account after 18 months? Show your work.

1 answer

a. this is a arithmetic series, not a sequence. the Sum of the series is given by months m is

sum=m/2 * (2*1000 + (m-1)75)

for 18 months, put m=18 and compute.