Evaluate: sum_(n=1)^(4)(nx-5) Answer: Submit Answer

Substitute n for expression: For n=1, substitute n into the expression: (1x - 5) = x - 5Combine expressions: For n=2, substitute n into the expression: (2x - 5) = 2x - 5Add all expressions: For n=3, substitute n into the expression: (3x - 5) = 3x - 5Combine like terms: For n=4, substitute n into the expression: (4x - 5) = 4x - 5Now, add all the expressions together: (x - 5) + (2x - 5) + (3x - 5) + (4x - 5) Combine like terms (x terms and constant terms): x + 2x + 3x + 4x - 5 - 5 - 5 - 5 = 10x - 20

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sum_(n=1)^(4)(nx-5)
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Evaluate: $\newline$ $\sum_{n=1}^{4}(n x-5)$ $\newline$ Answer: $\newline$ Submit Answer

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Algebra 2

Evaluate rational expressions II

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Q. Evaluate:

\newline

\sum_{n=1}^{4}(n x-5)

\newline

Answer:

\newline

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Substitute $n$ for expression: For $n=1$ , substitute $n$ into the expression: $\newline$ $(1x - 5) = x - 5$
Combine expressions: For $n=2$ , substitute $n$ into the expression: $\newline$ $(2x - 5) = 2x - 5$
Add all expressions: For $n=3$ , substitute $n$ into the expression: $\newline$ $(3x - 5) = 3x - 5$
Combine like terms: For $n=4$ , substitute $n$ into the expression: $\newline$ $(4x - 5) = 4x - 5$
Combine like terms: For $n=4$ , substitute $n$ into the expression: $\newline$ $(4x - 5) = 4x - 5$ Now, add all the expressions together: $\newline$ $(x - 5) + (2x - 5) + (3x - 5) + (4x - 5)$ $\newline$ Combine like terms ( $x$ terms and constant terms): $\newline$ $x + 2x + 3x + 4x - 5 - 5 - 5 - 5$ $\newline$ $= 10x - 20$