Evaluate: sum_(n=3)^(5)(nx+4) Answer:

Understand the problem: Understand the problem We need to evaluate the sum of the expression (nx + 4) for n ranging from 3 to 5.Write out the terms: Write out the terms of the sum The sum from n=3 to n=5 of (nx + 4) means we need to calculate (3x + 4) + (4x + 4) + (5x + 4).Evaluate each term: Evaluate each term First term when n=3: (3x + 4) Second term when n=4: (4x + 4) Third term when n=5: (5x + 4)Add the terms together: Add the terms together Now we add the terms we found in Step 3 together: (3x + 4) + (4x + 4) + (5x + 4)Combine like terms: Combine like terms Combine the x terms: 3x + 4x + 5x = 12x Combine the constant terms: 4 + 4 + 4 = 12 So, (3x + 4) + (4x + 4) + (5x + 4) = 12x + 12

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Evaluate: $\newline$ $\sum_{n=3}^{5}(n x+4)$ $\newline$ Answer:

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Algebra 2

Evaluate rational expressions II

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Q. Evaluate:

\newline

\sum_{n=3}^{5}(n x+4)

\newline

Answer:

Understand the problem: Understand the problem We need to evaluate the sum of the expression $(n x + 4)$ for $n$ ranging from $3$ to $5$ .
Write out the terms: Write out the terms of the sum $\newline$ The sum from $n=3$ to $n=5$ of $(nx + 4)$ means we need to calculate $(3x + 4) + (4x + 4) + (5x + 4)$ .
Evaluate each term: Evaluate each term $\newline$ First term when $n=3$ : $(3x + 4)$ $\newline$ Second term when $n=4$ : $(4x + 4)$ $\newline$ Third term when $n=5$ : $(5x + 4)$
Add the terms together: Add the terms together $\newline$ Now we add the terms we found in Step $3$ together: $\newline$ $(3x + 4) + (4x + 4) + (5x + 4)$
Combine like terms: Combine like terms $\newline$ Combine the $x$ terms: $3x + 4x + 5x = 12x$ $\newline$ Combine the constant terms: $4 + 4 + 4 = 12$ $\newline$ So, $(3x + 4) + (4x + 4) + (5x + 4) = 12x + 12$