How do you calculate the sum of the summation of the expression 3i – 15 from i = 2 to 7?

by

To find the sum of the summation of the expression 3i – 15 from i = 2 to i = 7, follow these steps:

  1. First, plug in the values for i from 2 to 7 into the expression 3i – 15.
  2. Next, compute the value for each i:
    • For i = 2: 3(2) – 15 = 6 – 15 = -9
    • For i = 3: 3(3) – 15 = 9 – 15 = -6
    • For i = 4: 3(4) – 15 = 12 – 15 = -3
    • For i = 5: 3(5) – 15 = 15 – 15 = 0
    • For i = 6: 3(6) – 15 = 18 – 15 = 3
    • For i = 7: 3(7) – 15 = 21 – 15 = 6
  3. Now, sum these results:

    4. -9 + -6 + -3 + 0 + 3 + 6.

  4. Breaking it down: -9 – 6 – 3 + 0 + 3 + 6 = -9 – 6 – 3 + 9 = -9
  5. The final answer is: -9

Therefore, the sum of the summation of the expression 3i – 15 from i = 2 to i = 7 is -9.

Leave a Comment