Question

How to simplify $x + x^{2} + x^{3} + x^{4} + ... + x^{n}$ ?

Answer 1

Step-by-step explanation:

= x+x²+x³+

${x}^{4}$

+.....+

${x}^{n}$

=> this is geometric progression.

=> a = x , r = x²/x = x

=> Sn =

$\frac{a}{1 - r}$

=> Sn =

$\frac{x}{1 - x}$

this is your answer.