I keep on disputing numerous problems of this type. I don't understand why the answer is so obvious to the author.
In my opinion, these questions are not really good.
I'll take Spiked Math's help to illustrate this out:
Moral: There are infinite formulae that fits a finite number of elements. There is no best fit formula. It is just your perception
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Fit this polynomial
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"much solution"
"very logic"
LMAO!!!
Find the next number of the sequence
1,1,1,120,?
Ans: 25852016738884976640000, because
Γ(Γ(1))=1
Γ(Γ(2))=1
Γ(Γ(3))=1
Γ(Γ(4))=120
Γ(Γ(5))=25852016738884976640000
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Oh man, I just saw this post, I should have used this for TKC.
Hi; whenever I see those type questions I always just fit a polynomial through them. Admittedly, it was tough with Q2.
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:D I agree with you. I fit the polynomial too. But when I try to enter the answer, Brilliant says that only integer values are allowed.
Well I am against those" odd number out of the set" type questions. I mean there we will always be able to choose a suitable prime p for which any 3 are quadratic residues while left one isn't
So, here's the ultimate way to cure this problem:
Let us come up with a way to put a polynomial through any set of inputs and outputs x and y.
Any clues?
For example, I defined one as follows:
Find the next number in the sequence: 0,0,0,0,0,0,0,0,0,__
Ans: 10!
Now if there was a way to, say, put a function through something like 1, 4, 9, 16, 25, __ - that'd be great.
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This is the standard W|A/Mathematica command for fitting a polynomial
replace {1,4,9,16} with a set of your own data
Loved it .
agnishom bhaiya what moderator at brilliant.org means
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Moderators are responsible for helping improve the community experience, like curating nice problems, resolving reports, or seed community discussions
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how to be a moderator
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However, you can still help the community by actively participating in notes and solution discussions.
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bhaiya is it worth to join a dummy school in 11 th and 12 th
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Sorry, I do not know what that means. What is a dummy school?
1,3, and guess what's next? Something incomputable. Its the tree function. Next, 1, 1, 2, and guess what? Depends on the number of !'s. 0!!...=1, 1!!...=1, 2!!...=2, 3!!...=???