Asked by mira

fill the sequence 8, 23, 44,74, 116 next two terms of sequence
Answered by Reiny
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 ?
Answered by Reiny
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
Answered by mira
thank you. it is grade 7 special math school
Answered by Anna
That doesn’t make sense!!!
Answered by Nolan
The formula is wrong. It should be term(n) = ( n^3 + 23(n) - 8 ) / 2
Answered by Harper
What is this?? I don’t think it’s possible...
Answered by Kaylum
THAT IS SOOOOOOO CONFUSING
Answered by Mike
Everything is SOOOOOO CONFUSING!!!
Answered by hiiii
it is confusing
Answered by aravs277896
What????
what was the last two numbers tho?
Answered by aravs277896
Never mind im dumb.
Answered by Anonymous
173 and 248
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