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

(iv)

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

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(iv)

2+6+18+⋯+2×3n−1=3n−12 + 6 + 18 + \cdots + 2 \times 3^{n-1} = 3^n - 1

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