Evaluate: sum_(n=0)^(2)(-4x-3n) Answer:

Evaluate Expression for n=0: We need to evaluate the sum of the series for each value of n from 0 to 2. The series is given by the expression (-4x-3n). Let's start by substituting n=0, n=1, and n=2 into the expression and then summing the results.Evaluate Expression for n=1: For n=0, the expression becomes (-4x-3*0) which simplifies to (-4x).Evaluate Expression for n=2: For n=1, the expression becomes (-4x-3*1) which simplifies to (-4x-3).Sum the Results: For n=2, the expression becomes (-4x-3*2) which simplifies to (-4x-6).Combine Like Terms: Now we sum the results of the expression for n=0, n=1, and n=2: (-4x) + (-4x-3) + (-4x-6).Final Answer: Combining like terms, we get: (-4x) + (-4x) + (-4x) - 3 - 6, which simplifies to -12x - 9.The final answer is -12x - 9.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Evaluate:

sum_(n=0)^(2)(-4x-3n)
Answer:

Evaluate: $\newline$ $\sum_{n=0}^{2}(-4 x-3 n)$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 2

Sum of finite series starts from 1

Full solution

Q. Evaluate:

\newline

\sum_{n=0}^{2}(-4 x-3 n)

\newline

Answer:

Evaluate Expression for $n=0$ : We need to evaluate the sum of the series for each value of $n$ from $0$ to $2$ . The series is given by the expression $(-4x-3n)$ . Let's start by substituting $n=0$ , $n=1$ , and $n=2$ into the expression and then summing the results.
Evaluate Expression for $n=1$ : For $n=0$ , the expression becomes $(-4x-3\cdot 0)$ which simplifies to $(-4x)$ .
Evaluate Expression for $n=2$ : For $n=1$ , the expression becomes $(-4x-3\times 1)$ which simplifies to $(-4x-3)$ .
Sum the Results: For $n=2$ , the expression becomes $(-4x-3\times 2)$ which simplifies to $(-4x-6)$ .
Combine Like Terms: Now we sum the results of the expression for $n=0$ , $n=1$ , and $n=2$ : $(-4x) + (-4x-3) + (-4x-6)$ .
Final Answer: Combining like terms, we get: $(-4x) + (-4x) + (-4x) - 3 - 6$ , which simplifies to $-12x - 9$ .
Final Answer: Combining like terms, we get: $(-4x) + (-4x) + (-4x) - 3 - 6$ , which simplifies to $-12x - 9$ .The final answer is $-12x - 9$ .