Evaluate: sum_(n=2)^(5)(-5x+2n) Answer:

Evaluate Expression for n=2: We need to evaluate the sum of the series from n=2 to n=5 for the expression (-5x+2n). We will do this by calculating the value of the expression for each value of n and then summing those values.Evaluate Expression for n=3: First, let's find the value of the expression when n=2: (-5x + 2*2) = (-5x + 4).Evaluate Expression for n=4: Next, find the value of the expression when n=3: (-5x + 2*3) = (-5x + 6).Evaluate Expression for n=5: Now, find the value of the expression when n=4: (-5x + 2*4) = (-5x + 8).Sum Values of Expression: Finally, find the value of the expression when n=5: (-5x + 2*5) = (-5x + 10).Combine Like Terms: Now we sum the values of the expression for each n: (-5x + 4) + (-5x + 6) + (-5x + 8) + (-5x + 10).Final Result: Combine like terms: -5x - 5x - 5x - 5x + 4 + 6 + 8 + 10 = -20x + 28.The sum of the series from n=2 to n=5 of the expression (-5x+2n) is -20x + 28.

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Evaluate:

sum_(n=2)^(5)(-5x+2n)
Answer:

Evaluate: $\newline$ $\sum_{n=2}^{5}(-5 x+2 n)$ $\newline$ Answer:

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Algebra 2

Sum of finite series starts from 1

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Q. Evaluate:

\newline

\sum_{n=2}^{5}(-5 x+2 n)

\newline

Answer:

Evaluate Expression for $n=2$ : We need to evaluate the sum of the series from $n=2$ to $n=5$ for the expression $(-5x+2n)$ . We will do this by calculating the value of the expression for each value of $n$ and then summing those values.
Evaluate Expression for $n=3$ : First, let's find the value of the expression when $n=2$ : $(-5x + 2\times2) = (-5x + 4)$ .
Evaluate Expression for $n=4$ : Next, find the value of the expression when $n=3$ : $(-5x + 2\times3) = (-5x + 6)$ .
Evaluate Expression for $n=5$ : Now, find the value of the expression when $n=4$ : $(-5x + 2\times4) = (-5x + 8)$ .
Sum Values of Expression: Finally, find the value of the expression when $n=5$ : $(-5x + 2\times 5) = (-5x + 10)$ .
Combine Like Terms: Now we sum the values of the expression for each $n$ : $(-5x + 4) + (-5x + 6) + (-5x + 8) + (-5x + 10)$ .
Final Result: Combine like terms: $-5x - 5x - 5x - 5x + 4 + 6 + 8 + 10 = -20x + 28$ .
Final Result: Combine like terms: $-5x - 5x - 5x - 5x + 4 + 6 + 8 + 10 = -20x + 28$ .The sum of the series from $n=2$ to $n=5$ of the expression $(-5x+2n)$ is $-20x + 28$ .