find the indicated sum
not sure how to type the sigma sign, but here is the problem
6 on top of the sigma sign.
under the sigma sign is i=3 and on the right side of the sigma sign (3i-2)
i = 3 --> (3i-2) = 7
i = 4 --> (3i-2) = 10
i = 5 --> (3i-2) = 13
i = 6 --> (3i-2) = 16
of course all differ by 3 but we do things the hard way
Now add
To find the indicated sum, we can use the sigma notation, which is commonly used in mathematics to represent a series or sum. The symbol Σ (sigma) represents the sum, and the expression written below it gives the starting value, the ending value, and the formula used to calculate each term.
In this case, the sigma notation you provided is:
6
Σ (3i - 2)
i = 3
To find the value of this sum, we need to plug in the values for i, perform the calculation specified in the formula (3i - 2), and add up all the terms from i = 3 to i = 6.
Let's calculate each term one by one:
When i = 3:
3(3) - 2 = 7
When i = 4:
3(4) - 2 = 10
When i = 5:
3(5) - 2 = 13
When i = 6:
3(6) - 2 = 16
Now, we add up all these terms:
7 + 10 + 13 + 16 = 46
Therefore, the value of the sum represented by the sigma notation is 46.