Precalculus Examples

$\sum_{n = 1}^{30} 2^{29}$

Step 1

Simplify the summation.

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Step 1.1

Raise $2$ to the power of $29$ .

$536870912$

Step 1.2

Rewrite the summation.

$\sum_{n = 1}^{30} 536870912$

$\sum_{n = 1}^{30} 536870912$

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.

$(536870912) (30)$

Step 4

Multiply $536870912$ by $30$ .

$16106127360$

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