Evaluate finite summations in sigma notation

In this video we will evaluate summations using summations formulas for the sum of constants, the sum of constant multiples, the sum of the first n consecutive integers, and the sum of the first n squares.

[Kishimita]

Thanks, professor I learned that you can break apart arguments into single summation arguments if there's addition or subtraction.

[williammatiz]

William Steven Matiz
Monday/Wednesday, 11AM-1:15PM


I got a visual representation of why the constant multiple rule works. Before I would just apply it and didn't think much of why it works, but seeing the little demonstration of you showing that it's because you can factor it out at the end of the evaluation process makes a lot of sense. I understand the concept thoroughly now.

[laurensnoderly]

1) Lauren Snoderly

2) MW 11AM

3) This video was helpful because it helped me remember how to use the difference, constant multiple, and constant value rules. Before the video, I only remembered how to do the sum rule so this was a useful review on the rules and how to use them properly.

[heatherhill]

MW 11:00-1:15
For part D we have a lower limit of 0 but in the rules the lower limit is 1, so before you evaluate it you should rewrite it to have a lower limit of 1. In order to do so, we raise both the lower limit and upper limit by 1, however, since we increased the index by 1 we have to decrease the argument by 1 in order to get the correct answer.

[sydneyellyn]

1) Sydney Byk
2) M/W 11:00AM
3) I gained a better understanding of how to use the constant multiple rule. I was a little confused by that one but the video helped.

[nicolehovorkova]

Nicole H.
MW 11-1:15
Thank you for sharing this video professor, I found this review very helpful. I now remember to do the sum(addition) in the sum notation just as a sum notation of each member of addition separately. It also makes sense in the constant multiple rule to factor out the constant as it will only be repeated.

[umaimamourazik]

Umaima M
MAC2311
What I learned from this video was different ways to use the summation with the right formulas. Also what I learned from this video was if we increase the index by 1 we need to decrease the argument by 1 because it is k=1, not k=0 to have the formulas the same. Thank you for helping me understand with this video and teaching!

[gaberodriguez]

1)Gabriel Rodriguez
2)MoWe 11:00am-1:15pm
3) I learned how to evaluate finite sums using the algebra rules for finite sums. The algebra rules make it very easy to evaluate finite sums and I believe memorizing these rules, along with the formulas, will help me on test 4!

[kaelarose]

1.Kaela Joseph
2. M/W 11-1:15
3. In this video, I learned how the Algebra Rules for Finite Sums can apply to problems in sigma notation and how I can solve more complex problems of this nature in a simpler way.

[isaacchiu]

Hello I am Isaac C from MAC2311 MW11am. Thank you for this video, it was very helpful. Before this video, I knew how to solve summations but I had no idea about these summation rules existed! It reminds me of the sum rule for differentiation or the product/quotient rules of log functions, in that you can take something that seems complicated, break it apart into specific terms, and do it step by step. Definitely very informative, thanks!

[MarioNotBros]

Mario Piacquadio
MAC2311
One take-away from this video is that I need to refresh my memory on subjects that I learned back in pre-calculus algebra. As I know we used summation notation during that class, yet I do not remember much of it. This was hugely helpful as a refresher!

[winsaygerard]

Guyptamah
MAC2311
I learned from this video how to evaluate finite summations in sigma notation. I like that Ms Hearn provides us different formula for different exercises so we can know which rules bet fit when we see them.

[sharons]

Sharon S
MAC 2311
One thing i liked about this video was that it helped me remember sum, difference, constant multiple and value rule. With the example, i learned to work out this finite summations in sigma notations with rules that apply individually to each sigma notation thank you.

[CarlosGonzalez-vumo]

Carlos Gonzalez/MAC 2311
I really liked how you explained the constant multiple rule here, factoring out the coefficients was I failed to execute properly in the test, and am glad I now well understand for the final.

[juanalas]

Juan Alas, Monday/Wednesday, 11 AM-1:15 PM.
One fact that I was able to relearn from this video is the ability to multiply n times c in order to avoid writing c out n times. It's a small detail that could save considerable time in preparation for further exams.

[alejandrohilllon]

Jairo Hillon
MAC2311
A get away from this video is the step by step explanation of the meaning of the notation, I was feeling insecure about that big symbol but once you break it down and I repeated it out loud it become very clear.

[Julie_Gonne]

Thank you professor for explaining that if you increase the index by one, we need to decrease the argument by one as we want k=1 and not k=0.
Monday/Wednesday 11AM-1:15PM

[stephanieguevara]

1)Stephanie Guevara
2)Mondays and Wednesdays from 11am- 1:15pm
3)From the video I learned that when writing an equivalent summation, if you increase the index you have to decrease the argument in order for it to be compensated.

[ec]

1) Enrique C
2) M/W 11AM-1:15PM
3) It is best to break apart summations based on the summation rule if you a more complicated expression. I also re-learned the summation formula when having k^2 and k^3.

[isabellamartinez]

1) Isabella Martinez
2) M/W 11AM-1:15PM
3) This helped with reviewing the algebraic rules of summation