Write each arithmetic series as the sum of terms, find each sum.

- anonymous

Write each arithmetic series as the sum of terms, find each sum.

- jamiebookeater

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- anonymous

|dw:1354173691072:dw|

- anonymous

this one's different

- anonymous

how do i find a_1

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## More answers

- anonymous

is it -5?

- anonymous

|dw:1354173877445:dw|
put k=10 and get answer

- anonymous

answer=1000-275=725

- anonymous

does a_1 =-5 ?

- anonymous

\(a_1\) is the result of the equation when you plug your first term into it.
Your equation is \(100-5k\).
The series starts when k = 1, so plug 1 in for k and solve. That's \(a_1\).

- anonymous

100-5k is general term for k series
so first term=95

- anonymous

what about a_n, |dw:1354174176642:dw|

- anonymous

its wrong i know...

- anonymous

its wrong refer to my solution above in figure

- anonymous

@Life: You need to distinguish between the formula for the sum of the series and the equation you're given (in this case, 100-5k). You need to find the value for \(a_{10}\), and then plug that into your series summation formula.

- anonymous

\(a_1 = 95\) (you solved that already).
\(a_{n} = a_{10} = 100-5(10)\)
Plug \(a_{1}\), \(a_{10}\) (which is the *value* you getâ€”*not* 10), and \(n\) into your \(S_{n}\) formula and solve.

- anonymous

i dont understand how "I" got 95, i never did, but i undetstand everything after that, i thought a1=-5

- anonymous

Your equation is \(100-5k\), so \(a_{1}\) will be the result you get when you plug 1 in for \(k\).

- anonymous

\(a_{2}\) will be the result you get when you plug in 2 for \(k\).
\(a_{3}\) will be the result you get when you plug in 3 for \(k\).
...
\(a_{10}\) will be the result you get when you plug in 10 for \(k\).

- anonymous

@Life: Have you ever done computer programming? If so, do you know what a for loop is?

- anonymous

That's all a series is. For each value from what's below sigma to what's above it (in this case, between k=1 and k=10), perform the equation. Once you know each one, add them all together.

- anonymous

my final answer, s10=725, AM I RIGHT? :)

- anonymous

Yes.

- anonymous

sorry for being dumb lol, i understand it now though, so it was all worth it

- anonymous

You're not being dumb. You are showing effort (not just "what's the answer?"), which is appreciated. :)

- anonymous

Good luck with the rest of them. I have faith that you'll get them all. Good night. :)

- anonymous

Good night :D

- anonymous

I really do appreciate you sticking with me until i understood it. It was probably a good half an hour before I finally understood it, so thanks a bunch

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