How to add the first power of 15 to the second power of 15 and the third power of 15 to the 100th power of 15

How to add the first power of 15 to the second power of 15 and the third power of 15 to the 100th power of 15

S=15+15^2+15^3+.+15^100
15S=15^2+15^3+15^4+...+15^101
From the following formula to the above formula:
14S=15^101-15
So the original formula = s = (15 ^ 101-15) / 14