What is the value of the following series - 100r-2-3-r-2-2r-r-1-r-2-

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What is the v...

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What is the value of the following series ? \overset{100}{\underset{r=2}{∑(3^r(2-2r)}})/\lbrack(r+1)(r+2)\rbrack

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1 + 2 r + 3 r^{2} + 4 r^{3} + \dots \infty

\frac{9}{4},

r

1 + 2 r + {3 r}^{2} + {4 r}^{3} + \cdot \cdot \cdot

\frac{9}{4}

r

\sum_{r = 1}^{n} r (r + 1) (r + 2) (r + 3)

lim x \to \infty \frac{1 \cdot n \sum r = 1 r + 2 \cdot n - 1 \sum r = 1 r + 3 \cdot n - 2 \sum r = 1 r + . . . . + n \cdot 1}{n^{4}}

1 + 2 r + 3 r^{2} + 4 r^{3} + \dots \infty

\frac{9}{4},

r

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