Evaluate the Summation sum from n=1 to 4 of 2n+1

Problem

(∑_n=1^4)(2*n+1)

Solution

1. Identify the terms of the summation by substituting the integer values of n from the lower limit n=1 to the upper limit n=4

2. Calculate the first term where n=1

2*(1)+1=3

3. Calculate the second term where n=2

2*(2)+1=5

4. Calculate the third term where n=3

2*(3)+1=7

5. Calculate the fourth term where n=4

2*(4)+1=9

6. Sum the calculated values to find the total:

3+5+7+9=24

Final Answer

(∑_n=1^4)(2*n+1)=24

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