Is there a function that describes the shape of these points?

[wet vortex]

Have you tried writing your x and y values in a table?

If you do, you might notice a sequence in x

[torn plinth]

sum of integers...

Hmm, how can help that in finding the equation for this function though

[wet vortex]

The formula for the nth term of sum of integers of course

[torn plinth]

@cloud cloud

[torn plinth]

I see

[wet vortex]

You've gotten it yet?

[torn plinth]

no xD

[wet vortex]

OK then. Do you know the nth term of the sum of integers formula?

[torn plinth]

mhm

$S_n = \frac{n(n+1)}{2}$

[cloud cloud]

7amok4a

[wet vortex]

Sure!

But in this case, as the first term is 0, that '+' will be '-'.

So, that's the formula for Xn

Xn=n(n-1)÷2

[torn plinth]

okay

[wet vortex]

Try finding the formula for the nth term of y.

[torn plinth]

Un = n?

[wet vortex]

If you've done that, you get a formula for x and for y with the same variable n.

[torn plinth]

yes

[torn plinth]

the graph would be the inverse of this...

omg

tysm

!

[wet vortex]

U welcome

[thin stag]

it's similar to log(x), sqrt(x), or i don't know

[wet vortex]

No it's not

OK kind of

[thin stag]

it's smth like, for numbers 1,2,3,4,5,6,7,8 it's 0,1,3,6,10,15,21,28

oh wait

it's inverse of n(n+1)/2

it is (-1 +sqrt(8x+1))/2