Zayn C.
asked • 01/15/20Please help me with this question!
Please use the properties of sigma notation and the summation formulas to evaluate 
Options:
- 235
- 555
- 940
- 1865
More
1 Expert Answer
Stanton D. has given you great direction and I agree with his comment.
Here is some additional information:
∑k2 from k = 1 to n is n(n+1)(2n+1)/6
∑k from k = 1 to n is n(n+1)/2
The sum of a constant K from k = 1 to n is Kn
These formulae will allow you to answer the question if you don't want to simply make columns of figures as suggested by Stanton D. It is not difficult to derive these formulae and either Stanton D. or I can help you with that if you want to do so.
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Stanton D.
Hi Zayn C., I *think* this problem is just asking you to make a table with rows for i = 1 to 10, and columns for the respective terms of the expression, with entries for the values of each term for each value of i, and then just add up all the 3 columns of numbers. So for i=1 you would have 2, 4, and -5; for i=2 you would have 8, 8, -5; and so on. If you are feeling **really** mathematical, you could reframe the task as requiring you to find polynomial expressions for the sum of 2i^2, for the sum of 4i, and for the "sum" of -5 over arbitrary ranges of i, and then evaluate those polynomials over that range. That's a considerably longer task, though, even though it may pay off eventually in your mathematical literacy. If you choose to go this latter route, comment back and I'll guide you through -- it's really neat math! -- Cheers, -- Mr. d.01/15/20