Calculus Examples

$\sum_{i = 1}^{13} \frac{x_{i}}{44}$

Step 1

Factor $\frac{1}{44}$ out of the summation.

$\frac{1}{44} \sum_{k = 1}^{13} x_{i}$

Step 2

The formula for the summation of a constant is:

$\sum_{k = 1}^{n} c = c n$

Step 3

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

$\frac{1}{44} (x_{i} \cdot 13)$

Step 4

Simplify.

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Step 4.1

Move $13$ to the left of $x_{i}$ .

$\frac{1}{44} (13 x_{i})$

Step 4.2

Multiply $\frac{1}{44} (13 x_{i})$ .

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Step 4.2.1

Combine $13$ and $\frac{1}{44}$ .

$\frac{13}{44} x_{i}$

Step 4.2.2

Combine $\frac{13}{44}$ and $x_{i}$ .

$\frac{13 x_{i}}{44}$