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Find the third partial sum of the series. \newline3+9+15+21+27+33+3 + 9 + 15 + 21 + 27 + 33 + \cdots\newlineWrite your answer as an integer or a fraction in simplest form.\newlineS3=S_3 = ____

Full solution

Q. Find the third partial sum of the series. \newline3+9+15+21+27+33+3 + 9 + 15 + 21 + 27 + 33 + \cdots\newlineWrite your answer as an integer or a fraction in simplest form.\newlineS3=S_3 = ____
  1. Identify first three terms: Identify the first three terms in the series to find the third partial sum.\newlineFirst term: 33\newlineSecond term: 99\newlineThird term: 1515
  2. Calculate third partial sum: Calculate the third partial sum, S3S_3, by adding the first three terms together.\newlineS3=3+9+15S_3 = 3 + 9 + 15
  3. Perform addition to find S3S_3: Perform the addition to find the value of S3S_3.\newlineS3=27S_3 = 27

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