Evaluate: sum_(n=0)^(3)(nx-1) Answer:

Evaluate Term for n=0: We need to evaluate the sum of the series given by the expression (nx-1) from n=0 to n=3. We will do this by calculating the value of the expression for each value of n and then summing those values.Calculate Term for n=1: First, let's calculate the term for n=0: (0*x - 1) = -1.Compute Term for n=2: Next, calculate the term for n=1: (1*x - 1) = x - 1.Determine Term for n=3: Now, calculate the term for n=2: (2*x - 1) = 2x - 1.Sum Calculated Terms: Finally, calculate the term for n=3: (3*x - 1) = 3x - 1.Combine Like Terms: Now we sum all the terms we have calculated: (-1) + (x - 1) + (2x - 1) + (3x - 1).Combine like terms: -1 + x - 1 + 2x - 1 + 3x - 1 = 6x - 4.

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Evaluate: $\newline$ $\sum_{n=0}^{3}(n x-1)$ $\newline$ Answer:

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Algebra 2

Sum of finite series starts from 1

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Q. Evaluate:

\newline

\sum_{n=0}^{3}(n x-1)

\newline

Answer:

Evaluate Term for $n=0$ : We need to evaluate the sum of the series given by the expression $(nx-1)$ from $n=0$ to $n=3$ . We will do this by calculating the value of the expression for each value of $n$ and then summing those values.
Calculate Term for $n=1$ : First, let's calculate the term for $n=0$ : $(0\times x - 1) = -1$ .
Compute Term for $n=2$ : Next, calculate the term for $n=1$ : $(1\times x - 1) = x - 1$ .
Determine Term for $n=3$ : Now, calculate the term for $n=2$ : $(2\times x - 1) = 2x - 1$ .
Sum Calculated Terms: Finally, calculate the term for $n=3$ : $(3\times x - 1) = 3x - 1$ .
Combine Like Terms: Now we sum all the terms we have calculated: $(-1) + (x - 1) + (2x - 1) + (3x - 1)$ .
Combine Like Terms: Now we sum all the terms we have calculated: $(-1) + (x - 1) + (2x - 1) + (3x - 1)$ .Combine like terms: $-1 + x - 1 + 2x - 1 + 3x - 1 = 6x - 4$ .