Define Arithmetic Series: We are asked to find the sum of the expression 4x as x takes on each integer value from 1 to 3. This is a finite arithmetic series where we can simply plug in the values of x and add the results.Substitute x values: First, we substitute x = 1 into the expression 4x. 4 * 1 = 4Calculate results: Next, we substitute x = 2 into the expression 4x. 4 * 2 = 8Add results: Finally, we substitute x = 3 into the expression 4x. 4 * 3 = 12Now, we add the results of the expression for each value of x. Sum = 4 + 8 + 12 Sum = 24

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$\sum_{x=1}^{3}(4 x)=$

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Calculus

Find derivatives using the chain rule II

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\sum_{x=1}^{3}(4 x)=

Define Arithmetic Series: We are asked to find the sum of the expression $4x$ as $x$ takes on each integer value from $1$ to $3$ . This is a finite arithmetic series where we can simply plug in the values of $x$ and add the results.
Substitute x values: First, we substitute $x = 1$ into the expression $4x$ . $4 \times 1 = 4$
Calculate results: Next, we substitute $x = 2$ into the expression $4x$ . $4 \times 2 = 8$
Add results: Finally, we substitute $x = 3$ into the expression $4x$ . $4 \times 3 = 12$
Add results: Finally, we substitute $x = 3$ into the expression $4x$ . $4 \times 3 = 12$ Now, we add the results of the expression for each value of $x$ . $\text{Sum} = 4 + 8 + 12$ $\text{Sum} = 24$