Find the first three partial sums of the series. 1 + 7 + 13 + 19 + 25 + 31 + ⋯ Write your answers as integers or fractions in simplest form. S1 = ____ S2 = ____ S3 = ____

Identify first term: Identify the first term in the series. The first term of the series is 1.Calculate first partial sum: Calculate the first partial sum, S1. The first partial sum is simply the first term of the series. S1 = 1Identify second term: Identify the second term in the series. The second term of the series is 7.Calculate second partial sum: Calculate the second partial sum, S2. The second partial sum is the sum of the first and second terms. S2 = 1 + 7 = 8Identify third term: Identify the third term in the series. The third term of the series is 13.Calculate third partial sum: Calculate the third partial sum, S3. The third partial sum is the sum of the first, second, and third terms. S3 = S2 + 13 = 8 + 13 = 21

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Find the first three partial sums of the series. $\newline$ $1 + 7 + 13 + 19 + 25 + 31 + \cdots$ $\newline$ Write your answers as integers or fractions in simplest form. $\newline$ $S_1 =$ ____ $\newline$ $S_2 =$ ____ $\newline$ $S_3 =$ ____

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Algebra 2

Partial sums: mixed review

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Q. Find the first three partial sums of the series.

\newline

1 + 7 + 13 + 19 + 25 + 31 + \cdots

\newline

Write your answers as integers or fractions in simplest form.

\newline

S_1 =

____

\newline

S_2 =

____

\newline

S_3 =

____

Identify first term: Identify the first term in the series. $\newline$ The first term of the series is $1$ .
Calculate first partial sum: Calculate the first partial sum, $S_1$ . $\newline$ The first partial sum is simply the first term of the series. $\newline$ $S_1 = 1$
Identify second term: Identify the second term in the series. $\newline$ The second term of the series is $7$ .
Calculate second partial sum: Calculate the second partial sum, $S_2$ . $\newline$ The second partial sum is the sum of the first and second terms. $\newline$ $S_2 = 1 + 7 = 8$
Identify third term: Identify the third term in the series. $\newline$ The third term of the series is $13$ .
Calculate third partial sum: Calculate the third partial sum, $S_3$ . The third partial sum is the sum of the first, second, and third terms. $S_3 = S_2 + 13 = 8 + 13 = 21$