Write the following series in summation notation. 1, 4, 9, 16, 25, 36

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Question:

Write the following series in summation notation. 1, 4, 9, 16, 25, 36

Answer:

To write the series in summation notation, we have to identify a pattern. After we identify the pattern, we get that the notation is:

Terms:

  • The first term is 1, which is also the square of 1, as
  • The second term is 4, which is also the square of 2, as
  • The third term is 9, which is also the square of 3, as
  • The fourth term is 16, which is also the square of 4, as
  • The fifth term is 25, which is also the square of 5, as
  • The sixth term is 36, which is also the square of 6, as

From this, we can get a pattern that each term is the square of the index, and the notation is:

From the answer and question examples above, hopefully, they might possibly guide the student take care of the question they had been looking for and notice of every detail stated in the answer above. You possibly will then have a discussion with your classmate and continue the school learning by studying the question to one another.

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