A representative from the bank speaks with you about opening a savings product. You would be guaranteed at least a 3.5% return for the next 10 years when you agree to add $25.00 each month for the entire time. Given this information and that you meet the minimum monthly contribution requirement, what would be your total accumulated value at the end of the 10 years?

a 3.5 % return is .035/12 - .002917 / mo

10 years is 120 mos.

This is basically an annuity payment - after 10  years 1$, deposited monthly, would be worth (similar to house mortgage, etc.)

N = (1 - (1 + i)^-120) / i  = 241.73

Total amount = 25 * 241.73 = 6043

Note 120 payments at $25 = 3000

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.