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

(viii)

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

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(viii)

a+(a+d)+(a+2d)+⋯+[a+(n−1)d]=n2[2a+(n−1)d]a + (a+d) + (a+2d) + \cdots + [a+(n-1)d] = \dfrac{n}{2}[2a+(n-1)d]

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