Precalculus Examples

$\sum_{i = 2}^{5} i - 12$

Step 1

Expand the series for each value of $i$ .

$2 - 12 + 3 - 12 + 4 - 12 + 5 - 12$

Step 2

Simplify.

Tap for more steps...

Step 2.1

Subtract $12$ from $2$ .

$- 10 + 3 - 12 + 4 - 12 + 5 - 12$

Step 2.2

Subtract $12$ from $3$ .

$- 10 - 9 + 4 - 12 + 5 - 12$

Step 2.3

Subtract $9$ from $- 10$ .

$- 19 + 4 - 12 + 5 - 12$

Step 2.4

Subtract $12$ from $4$ .

$- 19 - 8 + 5 - 12$

Step 2.5

Subtract $8$ from $- 19$ .

$- 27 + 5 - 12$

Step 2.6

Subtract $12$ from $5$ .

$- 27 - 7$

Step 2.7

Subtract $7$ from $- 27$ .

$- 34$

$- 34$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$