Evaluate: sum_(n=2)^(6)(nx-1) Answer:

Write Terms of Sum: Write out the terms of the sum. The sum notation sum_(n=2)^(6)(nx-1) tells us to evaluate the expression (nx-1) for each integer value of n from 2 to 6 and then add the results together.Evaluate for Each n: Evaluate the expression for each value of n. For n=2: (2x-1) For n=3: (3x-1) For n=4: (4x-1) For n=5: (5x-1) For n=6: (6x-1)Add Expressions: Add the expressions together. (2x-1) + (3x-1) + (4x-1) + (5x-1) + (6x-1)Combine Like Terms: Combine like terms. 2x + 3x + 4x + 5x + 6x - 1 - 1 - 1 - 1 - 1 = (2x + 3x + 4x + 5x + 6x) - (1 + 1 + 1 + 1 + 1) = (2 + 3 + 4 + 5 + 6)x - 5 = (20)x - 5 = 20x - 5

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Evaluate: $\newline$ $\sum_{n=2}^{6}(n x-1)$ $\newline$ Answer:

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Algebra 2

Simplify variable expressions using properties

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Q. Evaluate:

\newline

\sum_{n=2}^{6}(n x-1)

\newline

Answer:

Write Terms of Sum: Write out the terms of the sum. $\newline$ The sum notation $\sum_{n=2}^{6}(nx-1)$ tells us to evaluate the expression $(nx-1)$ for each integer value of $n$ from $2$ to $6$ and then add the results together.
Evaluate for Each $n$ : Evaluate the expression for each value of $n$ .
For $n=2$ : $(2x-1)$
For $n=3$ : $(3x-1)$
For $n=4$ : $(4x-1)$
For $n=5$ : $(5x-1)$
For $n$ $0$ : $n$ $1$
Add Expressions: Add the expressions together. $\newline$ $(2x-1) + (3x-1) + (4x-1) + (5x-1) + (6x-1)$
Combine Like Terms: Combine like terms. $\newline$ $2x + 3x + 4x + 5x + 6x - 1 - 1 - 1 - 1 - 1$ $\newline$ = $(2x + 3x + 4x + 5x + 6x) - (1 + 1 + 1 + 1 + 1)$ $\newline$ = $(2 + 3 + 4 + 5 + 6)x - 5$ $\newline$ = $(20)x - 5$ $\newline$ = $20x - 5$