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Evaluate:

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

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Evaluate rational expressions II

Full solution

Q. Evaluate:

\newline

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

\newline

Answer:

\newline

Submit Answer

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): $\newline$ $x + 2x + 3x + 4x - 5 - 5 - 5 - 5$ $\newline$ $= 10x - 20$

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