Evaluate: sum_(n=0)^(2)(3x+3n) Answer:

Given sum expression: We are given the sum from n equals 0 to 2 of the expression (3x + 3n). This is a finite series where we will substitute the values of n into the expression and add the results together.Substitute n=0: First, let's substitute n = 0 into the expression (3x + 3n). This gives us 3x + 3(0) = 3x + 0 = 3x.Substitute n=1: Next, we substitute n = 1 into the expression (3x + 3n). This gives us 3x + 3(1) = 3x + 3 = 3x + 3.Substitute n=2: Finally, we substitute n = 2 into the expression (3x + 3n). This gives us 3x + 3(2) = 3x + 6 = 3x + 6.Add results: Now we add the results of the substitutions together: (3x) + (3x + 3) + (3x + 6).Combine like terms: Combining like terms, we get 3x + 3x + 3x + 3 + 6 = 9x + 9.

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Evaluate: $\newline$ $\sum_{n=0}^{2}(3 x+3 n)$ $\newline$ Answer:

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Algebra 2

Simplify variable expressions using properties

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Q. Evaluate:

\newline

\sum_{n=0}^{2}(3 x+3 n)

\newline

Answer:

Given sum expression: We are given the sum from $n = 0$ to $2$ of the expression $(3x + 3n)$ . This is a finite series where we will substitute the values of $n$ into the expression and add the results together.
Substitute $n=0$ : First, let's substitute $n = 0$ into the expression $(3x + 3n)$ . This gives us $3x + 3(0) = 3x + 0 = 3x$ .
Substitute $n=1$ : Next, we substitute $n = 1$ into the expression $(3x + 3n)$ . This gives us $3x + 3(1) = 3x + 3 = 3x + 3$ .
Substitute $n=2$ : Finally, we substitute $n = 2$ into the expression $(3x + 3n)$ . This gives us $3x + 3(2) = 3x + 6 = 3x + 6$ .
Add results: Now we add the results of the substitutions together: $3x$ + $3x + 3$ + $3x + 6$ .
Combine like terms: Combining like terms, we get $3x + 3x + 3x + 3 + 6 = 9x + 9$ .