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Question
Let $i = \sqrt { - 1} $. If ${{{{\left( { - 1 + i\sqrt 3 } \right)}^{21}}} \over {{{(1 - i)}^{24}}}} + {{{{\left( {1 + i\sqrt 3 } \right)}^{21}}} \over {{{(1 + i)}^{24}}}} = k$, and $n = [|k|]$ be the greatest integral part of | k |. Then $\sum\limits_{j = 0}^{n + 5} {{{(j + 5)}^2} - \sum\limits_{j = 0}^{n + 5} {(j + 5)} } $ is equal to _________.
Correct Answer
310

Solution

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