Summation

What’s the sum of the first 100 counting numbers? Where does the sum of the powers of ½ converge to? How can you visualize the Taylor series expansion for sine?

Answer these questions with summation in Desmos. Watch the video for an introduction, and then read on to learn more.

 

Desmos Calculator Keyboard With Calculus and Sigma Summation Highlighted. Screenshot.

To use summation, type Sum into any expression line.

Or, click Show Keypad and then Functions, scroll to Calculus, and click Sigma (Σ).

Summation. N goes from 1 to 300 for Two Times the variable n squared. Result 18090100. Screenshot.

Enter your value for the upper and lower bounds, and Desmos will output the answer.

Summation With Parameters. Negative 1 to the Nth Power Times X to the Two N Plus One Power. All Divided By Two N Plus One Factorial.  Graph Image Included. Screenshot.

You can also enter a parameter for the upper and lower limits.

 

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