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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 = ____

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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: First, let's identify the first three terms of the series: 33, 99, and 1515.
  2. Calculate Third Partial Sum: Now, we add these three terms together to find the third partial sum, S3S_3. \newlineS3=3+9+15S_3 = 3 + 9 + 15
  3. Perform Addition: Perform the addition to get the sum. S3=27S_3 = 27

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