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Suppose [itex]a,d \in \mathbb{Z}[/itex] and consider the arithmetic sequence [itex]\{a+kd\}_{k\in\mathbb{N}\cup\{0\}}[/itex]. Use the Principle of Mathematical Induction to prove that

[tex]\sum_{k=0}^n a+kd = \frac{1}{2}(n+1)(2a+nd)[/tex]

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# Mathematical Induction

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