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Mathematics, 21.02.2020 03:51 zero101

True or false? If P(n) is a summation formula for the sigma sum LaTeX: \sum_{k=0}^n f(k) =S(n)βˆ‘ k = 0 n f ( k ) = S ( n ) , where S(n) represents the sum in closed form, we prove the statement P(n+1) from P(n) by taking the statement P(n) and adding f(n+1) to both sides. Then we simplify S(n)+f(n+1) algebraically to show that it is S(n+1).

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