Problem

8. Write the following series in sigma notation. \[ 2+9+16+23+30+37 \]

Solution

Step 1 :Identify the series as an arithmetic series where each term is 7 more than the previous term.

Step 2 :The first term is 2.

Step 3 :Write this series in sigma notation as the sum from i=0 to n of the first term plus i times the common difference.

Step 4 :In this case, the first term is 2 and the common difference is 7.

Step 5 :The number of terms, n, is 6 because there are 6 terms in the series.

Step 6 :Write the series in sigma notation as \(2 + \sum_{i=1}^{6} 7i\).

Step 7 :\(\boxed{2 + \sum_{i=1}^{6} 7i}\) is the final answer.

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Source: https://solvelyapp.com/problems/40165/

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