pre calculus 12 grade

Question

Your grandparents gave you a $500 gift during the holidays, that you deposited in a saving account. You plan to add $25 to the gift every week to save for summer break, which begins in June.

A) Which function represents the amount in the account after each deposit as an arithmetic sequence, let a1=500

B)If there are 23 weeks before your vacation begins, how much money will you have saved by summer?

Answer 1

A)

A_n+1 = A_n + 25

where A₁ = 500,

or

A_n = (n-1)×25 + A₁

_{for n = 2, 3, ...}

B)

A₂₃ = 500 + (23-1)×25 = 500 + 22×25 = 500 + 550 =

$1,050.00