Evaluate the Summation sum from i=1 to 5 of 5i+3

Problem

(∑_i=1^5)(5*i+3)

Solution

1. Identify the summation notation, which requires calculating the value of the expression 5*i+3 for each integer i from 1 to 5 and adding them together.

2. Substitute the value i=1 into the expression:

5*(1)+3=8

3. Substitute the value i=2 into the expression:

5*(2)+3=13

4. Substitute the value i=3 into the expression:

5*(3)+3=18

5. Substitute the value i=4 into the expression:

5*(4)+3=23

6. Substitute the value i=5 into the expression:

5*(5)+3=28

7. Sum the resulting values:

8+13+18+23+28=90

Final Answer

(∑_i=1^5)(5*i+3)=90

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