Arithmetic series definition: The series is a simple arithmetic series where each term is given by (n-1). We will calculate each term separately and then add them together. Calculating the first term: First term: Substitute n=1 into (n-1) to get (1-1) which equals 0. Calculating the second term: Second term: Substitute n=2 into (n-1) to get (2-1) which equals 1. Calculating the third term: Third term: Substitute n=3 into (n-1) to get (3-1) which equals 2. Adding all the terms: Now, we add all the terms together: 0 + 1 + 2. Sum of the series: The sum of the series is 0 + 1 + 2 = 3.

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

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Calculus

Find derivatives using the chain rule I

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

Arithmetic series definition: The series is a simple arithmetic series where each term is given by $n-1$ . We will calculate each term separately and then add them together.
Calculating the first term: First term: Substitute $n=1$ into $(n-1)$ to get $(1-1)$ which equals $0$ .
Calculating the second term: Second term: Substitute $n=2$ into $(n-1)$ to get $(2-1)$ which equals $1$ .
Calculating the third term: Third term: Substitute $n=3$ into $(n-1)$ to get $(3-1)$ which equals $2$ .
Adding all the terms: Now, we add all the terms together: $0 + 1 + 2$ .
Sum of the series: The sum of the series is $0 + 1 + 2 = 3$ .