A ^ 0 + A ^ 1 + A ^ 2 + A ^ 3. + A ^ n =? What is the formula equal to

A ^ 0 + A ^ 1 + A ^ 2 + A ^ 3. + A ^ n =? What is the formula equal to

We should discuss it according to the situation,
When a is equal to 1, the original formula is 1 × n = n
When a is not equal to 1, the original formula = [1-A ^ (n + 1)] / (1-A)