Theory of Intelligence
11TH•Mathematics•Mathematical Inductions And Binomial Theorem•Question 1

(vii)

Use mathematical induction to prove the following formulae for every positive integer $n$.

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(vii)

r+r2+r3+⋯+rn=r(1−rn)1−rr + r^2 + r^3 + \cdots + r^n = \dfrac{r(1-r^n)}{1-r}, (r≠1)(r \neq 1)

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