Question

Evaluating a Sum Using a graphing calculator to evaluate the sum.

$\sum _{n=0}^{22}{\left(-1\right)}^{n}2n$

Short answer

The sum is 22.

Step-by-step solution

Step 1.  Given

The given sequence is$\sum _{n=0}^{22}{\left(-1\right)}^{n}2n.$

Step 2.  To determine

We have to find thesum of the given sequence using a graphing calculator.

Step 3.  Calculation

We’ll use Desmos graphing calculator to evaluate the sum.

Using the virtual key board, we enter the given expression $\sum _{n=0}^{22}{\left(-1\right)}^{n}2n.$

We get:

Hence, the sum is 22.