Sequence 1, a ^ 2, a ^ 3 The sum of the first n terms of a ^ (n-1)

Sequence 1, a ^ 2, a ^ 3 The sum of the first n terms of a ^ (n-1)

I suggest you take a look at the encyclopedia "equal ratio sequence"!
Suppose you have the right topic, then from the second term, it is an equal ratio series with a ^ 2 as the initial term!
Then the sum of the beginning of the second term is: (a ^ 2-A ^ (n-1) * a) / (1-A) = (a ^ 2-A ^ n) / (1-A)
So Sn = 1 + and = 1 + (a ^ 2-A ^ n) / (1-A), n ≥ 3, S1 = 1, S2 = 1 + A ^ 2