Arithmetic Series

Author:
Irina Boyadzhiev
Topic:
Arithmetic
This applet can be used to create arithmetic sequence with first term and a common difference . The applet also shows the derivation of the formula for arithmetic series.
  • Enter positive values between 1 and 5 for the first term and the common difference.
  • Drag the slider to create several terms of the sequence.
The sum of the terms of one finite arithmetic sequence is called arithmetic series. It can be visualized by the area of the created shape. We can derive the formula for the arithmetic series by using the following steps.
  • Click on the buttons to reflect and translate the series.
  • Express the area of the rectangle using , and .
  • Express the area of the rectangle using , and .
  • The series equals 1/ 2 of this area.

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