Matrix
How are u getting 140 000?
A0 = P
A1 = P(1.005) - 750
A2 = A1(1.005) - 750
= [P(1.005) - 750](1.005) - 750
= P(1.005)^2 - 750(1.005) - 750
= P(1.005)^2 - 750(1 + 1.005)
We can see that the power of P(1.005) is just the month, so then, P(1.005)^n
We can also see that there is a GP with 750(1 + 1.005) where a = 1, r = 1.005
An = P(1.005)^n - 750(((1.005^n)-1)/0.005)
^ If you simplify the fraction on the RHS, 750/0.005 = 140000
An = P(1.005)^n - 140000((1.005^n)-1)
= P(1.005)^n - 140000(1.005)^n + 140000
Unless I'm doing something wrong, is it possible that there is a typo in the question?