Precalculus Examples

$\sum_{2}^{5} 6 i$

Step 1

Expand the series for each value of $i$ .

$6 \cdot 2 + 6 \cdot 3 + 6 \cdot 4 + 6 \cdot 5$

Step 2

Simplify.

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Step 2.1

Multiply $6$ by $2$ .

$12 + 6 \cdot 3 + 6 \cdot 4 + 6 \cdot 5$

Step 2.2

Multiply $6$ by $3$ .

$12 + 18 + 6 \cdot 4 + 6 \cdot 5$

Step 2.3

Add $12$ and $18$ .

$30 + 6 \cdot 4 + 6 \cdot 5$

Step 2.4

Multiply $6$ by $4$ .

$30 + 24 + 6 \cdot 5$

Step 2.5

Add $30$ and $24$ .

$54 + 6 \cdot 5$

Step 2.6

Multiply $6$ by $5$ .

$54 + 30$

Step 2.7

Add $54$ and $30$ .

$84$

$84$

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