# 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

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:

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