SOLUTION: Evaluate \sum_{n = 1}^{33} (5n + 2 - 4n + n^2 + 17).

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Question 1209781: Evaluate \sum_{n = 1}^{33} (5n + 2 - 4n + n^2 + 17).
Answer by math_tutor2020(3817) About Me  (Show Source):
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Answer: 13717


Work Shown
sum%28%285n+%2B+2+-+4n+%2B+n%5E2+%2B+17%29%2Cn=1%2C33%29

= sum%28%28n%5E2+%2B+n+%2B+19%29%2Cn=1%2C33%29

=

= See formulas below

= 13717

Therefore,
sum%28%285n+%2B+2+-+4n+%2B+n%5E2+%2B+17%29%2Cn=1%2C33%29+=+13717

Verification using WolframAlpha

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Formulas Used





where c is a constant