Evaluate the Summation sum from 2 to 5 of 6i

Problem

(∑_i=2^5)(6)*i

Solution

1. Identify the lower limit of summation i=2 and the upper limit of summation i=5

2. Expand the summation by substituting each integer value of i from 2 to 5 into the expression 6*i

3. Write the individual terms of the sum:

6*(2)+6*(3)+6*(4)+6*(5)

4. Multiply each term:

12+18+24+30

5. Add the resulting values together to find the total sum:

12+18=30

30+24=54

54+30=84

Final Answer

(∑_i=2^5)(6)*i=84

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