Precalculus Examples

$\sum_{1}^{3} 3 i + 1$

Step 1

Expand the series for each value of $i$ .

$3 \cdot 1 + 1 + 3 \cdot 2 + 1 + 3 \cdot 3 + 1$

Step 2

Simplify.

Tap for more steps...

Step 2.1

Multiply $3$ by $1$ .

$3 + 1 + 3 \cdot 2 + 1 + 3 \cdot 3 + 1$

Step 2.2

Add $3$ and $1$ .

$4 + 3 \cdot 2 + 1 + 3 \cdot 3 + 1$

Step 2.3

Multiply $3$ by $2$ .

$4 + 6 + 1 + 3 \cdot 3 + 1$

Step 2.4

Add $6$ and $1$ .

$4 + 7 + 3 \cdot 3 + 1$

Step 2.5

Add $4$ and $7$ .

$11 + 3 \cdot 3 + 1$

Step 2.6

Multiply $3$ by $3$ .

$11 + 9 + 1$

Step 2.7

Add $9$ and $1$ .

$11 + 10$

Step 2.8

Add $11$ and $10$ .

$21$

$21$

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