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Mathematics 14 Online
OpenStudy (anonymous):

Sigma Notation?

OpenStudy (anonymous):

OpenStudy (anonymous):

since this sum is in the first degree, what's the formula?

OpenStudy (anonymous):

i dont know...

OpenStudy (anonymous):

here, go to this link on UC Davis https://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/summationdirectory/Summation.html

OpenStudy (anonymous):

it's n(n+1)/2

OpenStudy (anonymous):

okay!

OpenStudy (anonymous):

yup, so sum of 3n + 2 = 3 times sum of n + 2

OpenStudy (anonymous):

so... 3 (14*(15)/2) + 2 = your answer

OpenStudy (anonymous):

thank you!

geerky42 (geerky42):

\[\sum_{n=1}^{14}3n+2 = \sum_{n=1}^{14}3n + \sum_{n=1}^{14}2 = \\ 3\sum_{n=1}^{14}n + \sum_{n=1}^{14}2\]

geerky42 (geerky42):

So it's supposed to be \(3\left( \dfrac{14(15)}{2}\right) + 14(2)\)

geerky42 (geerky42):

@alias @madisonnvictoriaa

OpenStudy (anonymous):

Huh... Yes, you are right. Totally forgot to take the constant into account. It's been 3 years since I had to deal with summations :P

geerky42 (geerky42):

haha that's ok.

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