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Find the first three partial sums of the series. \newline1+7+13+19+25+31+⋯1 + 7 + 13 + 19 + 25 + 31 + \cdots\newlineWrite your answers as integers or fractions in simplest form. \newlineS1=S_1 = ____\newlineS2=S_2 = ____\newlineS3=S_3 = ____

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Q. Find the first three partial sums of the series. \newline1+7+13+19+25+31+⋯1 + 7 + 13 + 19 + 25 + 31 + \cdots\newlineWrite your answers as integers or fractions in simplest form. \newlineS1=S_1 = ____\newlineS2=S_2 = ____\newlineS3=S_3 = ____
  1. Identify first term: Identify the first term in the series.\newlineThe first term of the series is 11.
  2. Calculate first partial sum: Calculate the first partial sum, S1S_1.\newlineThe first partial sum is simply the first term of the series.\newlineS1=1S_1 = 1
  3. Identify second term: Identify the second term in the series.\newlineThe second term of the series is 77.
  4. Calculate second partial sum: Calculate the second partial sum, S2S_2.\newlineThe second partial sum is the sum of the first and second terms.\newlineS2=1+7=8S_2 = 1 + 7 = 8
  5. Identify third term: Identify the third term in the series.\newlineThe third term of the series is 1313.
  6. Calculate third partial sum: Calculate the third partial sum, S3S_3. The third partial sum is the sum of the first, second, and third terms. S3=S2+13=8+13=21S_3 = S_2 + 13 = 8 + 13 = 21

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