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Hi I need help solving:

 The sum \(\[6\left( 1\cdot3 + 2\cdot4 + \dots + n(n+2) \right)\]\)
is equal to a polynomial \(f(n)\) for all \(n \ge 1.\) Write \(f(n)\) as a polynomial with terms in descending order of n.

Thank you!!

 
 Jan 12, 2025
 #2
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The answer is f(n) = 4n^3 + 5n^2 + 9n.

 8 mins ago

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