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OpenStudy (cmadaviss):

Help with Algebra II question.

OpenStudy (cmadaviss):

\[\sum_{k=0}^{1}(2-k)= ?\] I need help solving this equation!

hartnn (hartnn):

you know how \(\sum \) operator works ?

OpenStudy (cmadaviss):

No we haven't learned this yet, but it's on a bonus assignment

hartnn (hartnn):

ok, so we insert all the values of k from its lower limit to the upper limit in the given function, for example:

hartnn (hartnn):

\(\Large \sum \limits_{k=a}^{a+n}f(k) = f(a) + f(a+1) + f(a+2) + ... f(a+n) \)

hartnn (hartnn):

so in your problem, you'll first put k= 0 in 2-k then you'll put k = 1 in 2-k pause here, and then add all the above answers

hartnn (hartnn):

do you understand this?

OpenStudy (cmadaviss):

I plug both o and 1 into my equation?

hartnn (hartnn):

yes, like this : \(\Large \sum \limits_{k=0}^1 (2-k)= (2-0) + (2-1) = ...\)

OpenStudy (cmadaviss):

And I solve from there?

hartnn (hartnn):

yup

OpenStudy (cmadaviss):

so k=-1 ?

hartnn (hartnn):

how? also we are not trying to find the value of k

hartnn (hartnn):

we are plugging in different values of k here, from 0 to 1 so k =0 and then k =1

hartnn (hartnn):

in the given function 2-k and then add the results, because thats what the \(\sum \) operator mean....summing of all the fuanction values

OpenStudy (cmadaviss):

Oh okay

OpenStudy (cmadaviss):

SO it's 3?

hartnn (hartnn):

yes, correct! \(\huge \checkmark \)

OpenStudy (cmadaviss):

Thank you!

hartnn (hartnn):

welcome ^_^

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