Polynomial sums
Polynomial sums
3 marks
Tim Gan Math Original
Simplify \(\sum_{r=5}^{n}r^2\) in terms of \(n\).[3]
Take \(n\) to be an integer with \(n\ge 5\).
Solution:
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Answer:\(\frac{n(n+1)(2n+1)}6-30\)
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