Algebra Examples

$\sum_{k = 1}^{5} 3 {(- 5)}^{k - 1}$

Step 1

Expand the series for each value of $k$ .

$3 {(- 5)}^{1 - 1} + 3 {(- 5)}^{2 - 1} + 3 {(- 5)}^{3 - 1} + \dots + 3 {(- 5)}^{5 - 1}$

Step 2

Simplify the expanded form.

$1563$