Evaluate: sum_(n=2)^(4)(nx+2) Answer:

Evaluate n=2: Let's start by evaluating the expression for n=2. Substitute n=2 into the expression (nx+2) to get (2x+2).Evaluate n=3: Now, evaluate the expression for n=3. Substitute n=3 into the expression (nx+2) to get (3x+2).Evaluate n=4: Next, evaluate the expression for n=4. Substitute n=4 into the expression (nx+2) to get (4x+2).Add Results: Now, we will add the results from n=2, n=3, and n=4. Add (2x+2), (3x+2), and (4x+2) together. (2x+2) + (3x+2) + (4x+2) = 2x + 3x + 4x + 2 + 2 + 2Combine Like Terms: Combine like terms to simplify the expression. 2x + 3x + 4x = 9x and 2 + 2 + 2 = 6, so the simplified expression is 9x + 6.

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Evaluate: $\newline$ $\sum_{n=2}^{4}(n x+2)$ $\newline$ Answer:

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Algebra 2

Evaluate rational expressions II

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Q. Evaluate:

\newline

\sum_{n=2}^{4}(n x+2)

\newline

Answer:

Evaluate $n=2$ : Let's start by evaluating the expression for $n=2$ . Substitute $n=2$ into the expression $(nx+2)$ to get $(2x+2)$ .
Evaluate $n=3$ : Now, evaluate the expression for $n=3$ . Substitute $n=3$ into the expression $(nx+2)$ to get $(3x+2)$ .
Evaluate $n=4$ : Next, evaluate the expression for $n=4$ . Substitute $n=4$ into the expression $(nx+2)$ to get $(4x+2)$ .
Add Results: Now, we will add the results from $n=2$ , $n=3$ , and $n=4$ . Add $(2x+2)$ , $(3x+2)$ , and $(4x+2)$ together. $(2x+2) + (3x+2) + (4x+2) = 2x + 3x + 4x + 2 + 2 + 2$
Combine Like Terms: Combine like terms to simplify the expression. $\newline$ $2x + 3x + 4x = 9x$ and $2 + 2 + 2 = 6$ , so the simplified expression is $9x + 6$ .