Evaluate the Summation sum from i=1 to 3 of 3n-2

Problem

(∑_i=1^3)(3*i−2)

Solution

1. Identify the terms of the summation by substituting the index i with the integers from 1 to 3

2. Substitute i=1 into the expression 3*i−2 to find the first term.

3*(1)−2=1

3. Substitute i=2 into the expression 3*i−2 to find the second term.

3*(2)−2=4

4. Substitute i=3 into the expression 3*i−2 to find the third term.

3*(3)−2=7

5. Sum the calculated terms together to find the total value.

1+4+7=12

Final Answer

(∑_i=1^3)(3*i−2)=12

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