Precalculus Examples

$\sum_{k = 1}^{1000} \frac{1}{2}$

Step 1

The formula for the summation of a constant is:

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

Step 2

Substitute the values into the formula.

$(\frac{1}{2}) (1000)$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $1000$ .

$\frac{1}{2} (2 (500))$

Step 3.2

Cancel the common factor.

$\frac{1}{2} (2 \cdot 500)$

Step 3.3

Rewrite the expression.

$500$

$500$

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