Problem:
Evaluate the first 100 partials sums of the series


Visualization:
Using Sequences and Series (from the University of Arizona):

  1. After starting up the program, you are prompted "Would you like some instructions?" Use the arrow keys to move to either Yes or No and then press .
  2. If you choose Yes then read the instructions and press when you are ready to proceed.
  3. Use the arrow keys to highlight Sequence Operations and press .
  4. Use the arrow keys to highlight Create Sequence and press .
  5. At the prompt, a(n) =, type
    2/3^n .
  6. At the prompt, Starting value for sequence, n = 1, press .
  7. Use the arrow keys to move to Sequences/Series and press .
  8. Now use the arrow keys to move to Evaluate Partial Sum and press .
  9. At the prompt, Number of calculations to perform, before showing result : 0, press .
  10. At the prompt, Increment in steps of 1 (otherwise 100)?, use the arrow keys to move to Yes and press .
  11. As you keep pressing , you will see ten more values of the sequence: