Precalculus Examples

$\sum_{n = 1}^{10} n^{2} \cdot 2^{n}$

Step 1

Expand the series for each value of $n$ .

$1^{2} \cdot 2^{1} + 2^{2} \cdot 2^{2} + 3^{2} \cdot 2^{3} + \dots + 10^{2} \cdot 2^{10}$

Step 2

Simplify the expanded form.

$169978$