Solve the Puzzle: 4, 5, 14, 185, .... - Ray Salmon

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In summary: Rimbus Jift@ray salmon Quick IQ test... Solve: 4, 5, 14, 185, ...so first the difference between the numbers is 1,9,171so far just some ideasThe factors of 171 are 1, 3, 9, 19, 57, 171$9^0 =1$ and $4+1=5$$9^1 =9$ and $5+9=14$$9+5=14$$9+14=19$$9\cdot 19=171 $anyway ?i plugged into W|F but didn't
  • #1
karush
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ok somebody sent me this on youtube but I don't think is a workable series

Rimbus Jift
@ray salmon Quick IQ test... Solve: 4, 5, 14, 185, ...

so first the difference between the numbers is 1,9,171so far just some ideas
The factors of 171 are 1, 3, 9, 19, 57, 171
$9^0 =1$ and $4+1=5$
$9^1 =9$ and $5+9=14$

$9+5=14$
$9+14=19$
$9\cdot 19=171 $
anyway ?

i plugged into W|F but didn't return a series
 
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  • #2
karush said:
ok somebody sent me this on youtube but I don't think is a workable series

Rimbus Jift
@ray salmon Quick IQ test... Solve: 4, 5, 14, 185, ...

so first the difference between the numbers is 1,9,171so far just some ideas
The factors of 171 are 1, 3, 9, 19, 57, 171
$9^0 =1$ and $4+1=5$
$9^1 =9$ and $5+9=14$

$9+5=14$
$9+14=19$
$9\cdot 19=171 $
anyway ?

i plugged into W|F but didn't return a series
You should know by now that you can choose any number to be the next one. For example we can use
\(\displaystyle f(x) = -28 x^4 + \dfrac{917}{3} x^3 - 1130 x^2 + \dfrac{5014}{3} x - 815\)

and get f(1) = 4, f(2) = 5, f(3) = 14, f(4) = 185. and the next number in the series will be f(5) = 0.

-Dan
 
  • #3
ok actually I haven't seen that,
the few series I worked on just plug and played with values of n till you got an eq to generate the series
the imperative "solve" does not insist that it is series generated by an eq but I assume that was the intention
why woufd f(5)=0 or is that just arbitrary

Anyway it does seem slam dung stuff
 
  • #4
karush said:
ok actually I haven't seen that,
the few series I worked on just plug and played with values of n till you got an eq to generate the series
the imperative "solve" does not insist that it is series generated by an eq but I assume that was the intention
why woufd f(5)=0 or is that just arbitrary

Anyway it does seem slam dung stuff
f(5) is arbitrary. For example:
\(\displaystyle f(x) = -\dfrac{671}{24} x^4 + \dfrac{1221}{4} x^3 - \dfrac{27085}{24} x^2 + \dfrac{6677}{4} x -814\)

gives f(1) = 4, f(2) = 5, f(3) = 14, f(4) = 185, and f(5) = 1.

etc. And you can do other fits aside from polynomials pretty much so long as you have 5 unknowns and the system can be solved. (Polynomials are easy to fit which I why I prefer to use them for demonstrations.)

A problem like this assumes that you can figure out a pattern but unfortunately any more information that you might get could change that answer. So I feel that problems like this are just silly.

-Dan
 
  • #5
ok I think so too ,...

but curious
what online series calculators are good if you just give a list of 6 numbers which assumes a generator eq
I guess W|F will but haven't tried
 
  • #6
Someone just posted this on YT again in a random Covid video (9/10/23). I started down the same line as above, noticing the differences of each number in the series is a multiple of 3, but this didn't lead anywhere. I played with the numbers and realized they are each 11 away from a square.

In fact 4²-11 = 5; 5²-11 = 14; 14²-11=185. So the answer is 185²-11 = 34,214.
 
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Related to Solve the Puzzle: 4, 5, 14, 185, .... - Ray Salmon

1. What is the pattern in the numbers 4, 5, 14, 185, ... in "Solve the Puzzle: 4, 5, 14, 185, .... - Ray Salmon"?

The pattern in these numbers is that each number is the result of multiplying the previous number by itself and then subtracting the previous number. So, 5 = (4^2) - 4, 14 = (5^2) - 5, and so on.

2. What is the next number in the sequence in "Solve the Puzzle: 4, 5, 14, 185, .... - Ray Salmon"?

The next number in the sequence is 333,436, which is calculated by following the pattern mentioned above. So, 333,436 = (185^2) - 185.

3. Who is Ray Salmon and what is his contribution to this puzzle?

Ray Salmon is a mathematician who created this puzzle. He discovered the pattern in the numbers and challenged others to find the next number in the sequence.

4. How can this puzzle be solved?

This puzzle can be solved by understanding the pattern and using it to calculate the next number in the sequence. Alternatively, you can use a computer program or calculator to quickly calculate the next number.

5. Is there a real-world application for this puzzle?

While this puzzle may not have a direct real-world application, it can help develop critical thinking and problem-solving skills. It also highlights the importance of patterns and how they can be used to solve problems in various fields of science and mathematics.

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