A balance A, after n annual payments of P
dollars have been made into an annuity earning an annual
percentage rate of r compounded annually is given by
A= P (1+ r ) + P ( l + r )^2 +... + P (I + r )^n
Rewrite this formula by completing the following factorization :
A =P(1 + r) ( ).

Question

A balance A, after n annual payments of P
dollars have been made into an annuity earning an annual
percentage rate of r compounded annually is given by
A= P (1+ r ) + P ( l + r )^2 +... + P (I + r )^n
Rewrite this formula by completing the following factorization  :
A =P(1 + r) (     ).

anonymous · Answer

It seems like it would be

$$P(1 + r)[1 + (1 + r) + (1 + r)^2... (1 + r)^{n-1}]$$