Evaluate the Summation sum from k=1 to 4 of 2k

Problem

(∑_k=1^4)(2)*k

Solution

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

2. Substitute k=1 into the expression 2*k to find the first term: 2(1) = 2$.

3. Substitute k=2 into the expression 2*k to find the second term: 2(2) = 4$.

4. Substitute k=3 into the expression 2*k to find the third term: 2(3) = 6$.

5. Substitute k=4 into the expression 2*k to find the fourth term: 2(4) = 8$.

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

2+4+6+8=20

Final Answer

(∑_k=1^4)(2)*k=20

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