find the sum. use the summation capabilities of a graphing utility to verify your result.
5
Sigma (3a)
k=2
??
look like
6 + 9 + 12 + 15
= 42
hey reiny--thats what i thought as well but the online homework says that answer is wrong
I am 100% sure I am correct, and so are you.
Did you copy it correctly?
yes...i copied it correctly..well i'll try again..thanks again
To find the sum of the series using the sigma notation, you can use a graphing utility with summation capabilities. Here are the steps to do it:
1. Open a graphing utility that supports sigma notation, such as Desmos or TI-Nspire.
2. Enter the expression inside the summation symbol (3a) and specify the variable name and its range. In this case, the variable is "k," and the range is from 2 to 5. The expression would look like this: Σ(3a, k, 2, 5).
3. Evaluate the sum by pressing the appropriate button or executing the command in the graphing utility. The result will be displayed.
4. Verify the result by calculating the sum manually. Since the expression inside the summation symbol is 3a, you need to substitute each value of "k" from 2 to 5 into the expression and add them all up. For example, when k = 2, 3a would equal 3a(2). Repeat this process for k = 3, 4, and 5, and then add all those results together.
By comparing the result obtained from the graphing utility with your manual calculation, you can verify whether the summation was performed correctly using the graphing utility.