sum_(j=1)^(2)(j^(2)+1)=

Problem understanding and setup: Understand the problem and set up the summation. We need to calculate the sum of the expression j^2 + 1 for each integer value of j from 1 to 2.Calculation for j=1: Calculate the sum for j=1. When j=1, the expression becomes 1^2 + 1 = 1 + 1 = 2.Calculation for j=2: Calculate the sum for j=2. When j=2, the expression becomes 2^2 + 1 = 4 + 1 = 5.Total sum calculation: Add the results from Step 2 and Step 3 to find the total sum. Total sum = 2 (from j=1) + 5 (from j=2) = 7.

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$\sum_{j=1}^{2}\left(j^{2}+1\right)=$

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Algebra 2

Composition of linear and quadratic functions: find a value

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\sum_{j=1}^{2}\left(j^{2}+1\right)=

Problem understanding and setup: Understand the problem and set up the summation. $\newline$ We need to calculate the sum of the expression $j^2 + 1$ for each integer value of $j$ from $1$ to $2$ .
Calculation for $j=1$ : Calculate the sum for $j=1$ . When $j=1$ , the expression becomes $1^2 + 1 = 1 + 1 = 2$ .
Calculation for $j=2$ : Calculate the sum for $j=2$ . $\newline$ When $j=2$ , the expression becomes $2^2 + 1 = 4 + 1 = 5$ .
Total sum calculation: Add the results from Step $2$ and Step $3$ to find the total sum. $\newline$ Total sum = $2$ (from $j=1$ ) + $5$ (from $j=2$ ) = $7$ .