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Use the Formulas ∑k=1nk=n(n+1)2\sum_{k=1}^{n} k=\frac{n(n+1)}{2} And ∑k=1nk2=n(n+1)(2n+1)6\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6} Of N ∑k=1n(4k2+2k−9)\sum_{k=1}^{n}\left(4 k^{2}+2 k-9\right)

Question 33

Essay

Use the formulas ∑k=1nk=n(n+1)2\sum_{k=1}^{n} k=\frac{n(n+1)}{2} and
∑k=1nk2=n(n+1)(2n+1)6\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}
of n . ∑k=1n(4k2+2k−9)\sum_{k=1}^{n}\left(4 k^{2}+2 k-9\right)

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