Evaluate the Summation sum from k=1 to 4 of 7k

Problem

(∑_k=1^4)(7)*k

Solution

1. Identify the summation notation, which indicates that we must evaluate the expression 7*k for each integer value of k from 1 to 4 and add the results together.

2. Expand the sum by substituting k=1,2,3,4 into the expression 7*k

7*(1)+7*(2)+7*(3)+7*(4)

3. Multiply each term to find the individual values.

7+14+21+28

4. Add the resulting values to find the total sum.

7+14=21

21+21=42

42+28=70

Final Answer

(∑_k=1^4)(7)*k=70

Want more problems? Check here!