What is the sum of the arithmetic sequence 5, 7, 9, 11, and 23?

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To find the sum of the arithmetic sequence given (5, 7, 9, 11, and 23), we can start by identifying a few key elements of the sequence. An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

In this particular case, we first check if these numbers are indeed part of an arithmetic sequence:

  • The first term (a) is 5.
  • The second term is 7 (7 – 5 = 2).
  • The third term is 9 (9 – 7 = 2).
  • The fourth term is 11 (11 – 9 = 2).
  • The fifth term is 23 (23 – 11 = 12).

Although 5, 7, 9, and 11 are part of an arithmetic sequence with a common difference of 2, the number 23 disrupts that pattern and makes it an isolated term rather than part of a continuous arithmetic sequence with equal increments.

To find the sum of these numbers, we simply add them together:

  • 5
  • 7
  • 9
  • 11
  • 23

Calculating the sum:

5 + 7 + 9 + 11 + 23 = 55

Thus, the sum of the sequence 5, 7, 9, 11, and 23 is 55.

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