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11. Consider the summation series++++ 1x2 2x3 3x4 4x5n(n+) (a) Find a formula for by examining the values of this expression by summing initial elements

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11. Consider the summation series++++ 1x2 2x3 3x4 4x5n(n+) (a) Find a formula for by examining the values of this expression by summing initial elements of and form a conjecture. Show your calculation to arrive the sequences and finding a pattern at the conjecture [4 points] (b) Prove the formula you conjectured in part (a) is correct using mathematical induction. [4 points]

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