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goblinko [34]
3 years ago
11

The closed form sum of $$12 \left[ 1^2 \cdot 2 + 2^2 \cdot 3 + \ldots + n^2 (n+1) \right]$$ for $n \geq 1$ is $n(n+1)(n+2)(an+b)

.$ find $an +
b.$
Mathematics
1 answer:
Inessa [10]3 years ago
8 0

n is an unspecified positive integer.  If you want a single numerical result for the sum you must specify the value for n.

 

For example:

 

n = 5    means  n(n+1)(n+2)(3n+1) = 3360

 

n=9     means   n(n+1)(n+2)(3n+1) = 27720

 

etc.

 

The sum is a function of n.

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<h3>Answer: Choice C.   P(1, -3)</h3>

=========================================================

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