Induction

Prove with math induction.
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Did you check whether it's true for n=1?

Then what will the induction hypothesis be?
 
Unless you want to practice induction, I’d try a direct proof

[MATH](1 - r) * \sum_{j=0}^n r^j = \left ( \sum_{j=0}^n r^j \right )- r \left ( \sum_{j=0}^n r^j \right ).[/MATH]
 
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