Calculus Examples

$\sum_{i = 1}^{54} 3 i^{4}$

Step 1

Factor $3$ out of the summation.

$3 \sum_{k = 1}^{54} i^{4}$

Step 2

Expand the series for each value of $i$ .

$3 \cdot 1^{4} + 3 \cdot 2^{4} + 3 \cdot 3^{4} + \dots + 3 \cdot 54^{4}$

Step 3

Simplify the expanded form.

$288411057$