Evaluate: sum_(n=2)^(5)(nx+2) Answer:

Understand the problem: Understand the problem We need to evaluate the sum of the expression (nx + 2) as n varies from 2 to 5.Write out the terms: Write out the terms of the sum The sum is the addition of the expression (nx + 2) for each value of n from 2 to 5. So, we have (2x + 2) + (3x + 2) + (4x + 2) + (5x + 2).Combine like terms: Combine like terms Add the x terms together and the constant terms together. (2x + 3x + 4x + 5x) + (2 + 2 + 2 + 2) This simplifies to 14x + 8.Check the result: Check the result We have combined like terms correctly and there are no further simplifications, so the final expression is 14x + 8.

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Evaluate: $\newline$ $\sum_{n=2}^{5}(n x+2)$ $\newline$ Answer:

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Algebra 2

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Q. Evaluate:

\newline

\sum_{n=2}^{5}(n x+2)

\newline

Answer:

Understand the problem: Understand the problem We need to evaluate the sum of the expression $(n x + 2)$ as $n$ varies from $2$ to $5$ .
Write out the terms: Write out the terms of the sum $\newline$ The sum is the addition of the expression $n x + 2$ for each value of $n$ from $2$ to $5$ . $\newline$ So, we have $2x + 2$ + $3x + 2$ + $4x + 2$ + $5x + 2$ .
Combine like terms: Combine like terms $\newline$ Add the $x$ terms together and the constant terms together. $\newline$ $(2x + 3x + 4x + 5x) + (2 + 2 + 2 + 2)$ $\newline$ This simplifies to $14x + 8$ .
Check the result: Check the result $\newline$ We have combined like terms correctly and there are no further simplifications, so the final expression is $14x + 8$ .