Generate an image featuring a sequence pattern puzzle. Display an abstract visual representation of increasing numbers, interpreting each number as a set of objects. Visualise initial quantities as simple geometric shapes: 8 shapes, then 23 shapes, 44 shapes, 74 shapes and 116 shapes. The shapes for the unidentified quantities, corresponding to the next two terms, are blurred or faded to indicate mystery. Ensure no text displays in the image.

fill the sequence 8, 23, 44,74, 116 next two terms of sequence

173 and 248

What????

what was the last two numbers tho?

Never mind im dumb.

That doesn’t make sense!!!

The formula is wrong. It should be term(n) = ( n^3 + 23(n) - 8 ) / 2

What is this?? I don’t think it’s possible...

THAT IS SOOOOOOO CONFUSING

Everything is SOOOOOO CONFUSING!!!

it is confusing

forgot to find the next two terms, lol

n=6
term6 = (6^3 + 23(6) - 8)/2 = 173
term7 = (7^3+23(7)-8)/2 = 248

interesting fact:
we can also find the next few terms by simply completing the next row in the above chart
we know the 4th column is a 3
so the number below 12 must be 15, enter it
the number below 42 must be 42+15 or 57
the number below 116 must be 116+57 = 173

etc

The magic and wonders of Wolfram:

http://www.wolframalpha.com/input/?i=curve+fit+%281%2C8%29%2C%282%2C23%29%2C%283%2C44%29%2C%284%2C74%29%2C%285%2C116%29

I knew it was a cubic by doing the following

first column are the original values, the second column is the difference between consecutive values, the third column is the difference between those , the fourth column is the difference of the previous column etc

8
23 15
44 21 6
74 30 9 3
116 42 12 3

it looks like the 4th column is a constant, so it must be a cubic
(if the 3rd column is a constant, it must be a quadratic etc)

so the expression producing the above numbers is

term(n) = (n^2 + 23b - 8)/2

What level is this??
Would you know how to solve 4 equations with 4 unknowns ?

thank you. it is grade 7 special math school