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Mathematics 18 Online
OpenStudy (teller):

Can someone help me to see if I got this right ?

jimthompson5910 (jim_thompson5910):

what's your question?

OpenStudy (teller):

OpenStudy (teller):

I just posted it

jimthompson5910 (jim_thompson5910):

ok one moment

OpenStudy (teller):

The help video they just gave me doesn't even tell us how to even do that kind problem it's everything else but those kind of problems

OpenStudy (teller):

I know it's going to be 1 but I can't just put 1

jimthompson5910 (jim_thompson5910):

are you familiar with finding the slope?

OpenStudy (teller):

Not asking for the slope though and no.

jimthompson5910 (jim_thompson5910):

well with finding any linear function, you find the slope first

jimthompson5910 (jim_thompson5910):

all linear equations are in the form y = mx+b m = slope b = y intercept

OpenStudy (teller):

See the video didn't say that...

jimthompson5910 (jim_thompson5910):

what is the video saying (summarize it the best you can)

OpenStudy (teller):

It was in the help section when I clicked it and it's input output tables and she just shows you how to find the missing numbers nothing about what in my work this is the video https://www.youtube.com/watch?v=y_aaOS6Q2qo

jimthompson5910 (jim_thompson5910):

ok let me watch it

OpenStudy (teller):

Frustrates me that they play students like this .They link a video and it's nothing on the problems about how to find N or anything like that ...

jimthompson5910 (jim_thompson5910):

A big vague how she says "the rule is 3" at 41 seconds

OpenStudy (teller):

Yea but when I do what she does it tells me I'm wrong on almost every single one I have to use those signs that you see on the right hand side of the picture.

jimthompson5910 (jim_thompson5910):

ok so the video doesn't help with finding the nth term

OpenStudy (teller):

That's what I said lol

jimthompson5910 (jim_thompson5910):

yeah I'm just confirming. Anyways, as the inputs increase by 1, what's going on with the outputs?

OpenStudy (teller):

its decreasing

jimthompson5910 (jim_thompson5910):

by how much?

OpenStudy (teller):

By 1 so the answer is going to be 1

OpenStudy (teller):

I want to put 1-n-1 but I can't or 1xn-1

jimthompson5910 (jim_thompson5910):

the x values (the inputs) are increasing by 1 the y values (the outputs) are decreasing by 1 (so we say -1) the slope is equal to the change in y over the change in x \[\Large \text{Slope} = \frac{\text{change in y}}{\text{change in x}}\] \[\Large \text{Slope} = \frac{-1}{1}\] \[\Large \text{Slope} = -1\] make sense?

OpenStudy (teller):

so it would be -1 over 1?

jimthompson5910 (jim_thompson5910):

yes which reduces to -1

OpenStudy (teller):

so the final answer is -1 over 1 - 1? or just -1 over 1

jimthompson5910 (jim_thompson5910):

-1 is just part of the answer

jimthompson5910 (jim_thompson5910):

m = -1 is our slope. It tells us how things are changing

jimthompson5910 (jim_thompson5910):

pick any pair of input and output values say x = 1 and y = 5 we will plug m = -1, x = 1 and y = 5 into y = mx+b and solve for b

jimthompson5910 (jim_thompson5910):

y = mx+b y = -1*x+b ... replace m with -1 y = -1*1+b ... replace x with 1 5 = -1*1+b ... replace y with 5 now solve for b

OpenStudy (teller):

6?

jimthompson5910 (jim_thompson5910):

yep

jimthompson5910 (jim_thompson5910):

m = -1 and b = 6 so y = mx+b turns into y = -1*x + 6 which is simplified to y = -x+6

jimthompson5910 (jim_thompson5910):

now if you replace the x with n (changing variables is perfectly valid) we go from `-x+6` to `-n+6`

OpenStudy (teller):

so the final answer is -n+6?

jimthompson5910 (jim_thompson5910):

so the nth term is `-n+6` example: replace n with 4 and you'll get `-n+6=-4+6 = 2` which is exactly the output for the input of 4

jimthompson5910 (jim_thompson5910):

correct

OpenStudy (teller):

Thank you!

jimthompson5910 (jim_thompson5910):

you're welcome

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