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The sum of the first terms of a certain sequence is $$n(n + 1)(n + 2)$$. Find the tenth term of the sequence.

Mar 5, 2019

$$\text{let }s_n = \sum \limits_{k=1}^n~a_k = n(n+1)(n+2)\\ s_{10}=s_9+a_{10}\\ a_{10} = s_{10}-s_9 = (10)(11)(12) - (9)(10)(11) = 330$$