Prove the equality by induction

Question

I need to prove the following equality by induction: $$\left(\sum_{i=0}^nx^i\right)^{} =\frac{1-x^{n+1}}{1-x}$$ for every x except $$x\neq 1$$ Could anyone give me a hint about this? Thank you

Answer 1

Hint: $$\sum_{i=0}^{n+1} x^i = x^{n+1}+\sum_{i=0}^{n} x^i$$