Calculus Examples

$\sum_{i = 1}^{5} 4 i$

Step 1

The formula for the summation of a polynomial with degree $1$ is:

$\sum_{k = 1}^{n} k = \frac{n (n + 1)}{2}$

Step 2

Substitute the values into the formula and make sure to multiply by the front term.

$\frac{5 (5 + 1)}{2}$

Step 3

Simplify.

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Step 3.1

Remove parentheses.

$\frac{5 (5 + 1)}{2}$

Step 3.2

Add $5$ and $1$ .

$\frac{5 \cdot 6}{2}$

Step 3.3

Multiply $5$ by $6$ .

$\frac{30}{2}$

Step 3.4

Divide $30$ by $2$ .

$15$