Number sequence 15, 101, 8, 86, 9699

  • Thread starter Thread starter shroo
  • Start date Start date
  • Tags Tags
    Sequence
AI Thread Summary
The number sequence 0, 15, 101, 8, 86, 9699, 6008 is challenging to decipher, with users struggling to identify a clear pattern. One participant attempted to apply linear regression to derive a formula, resulting in a complex equation that fits the existing numbers but may not align with the original intent of the sequence. The discussion highlights the inherent difficulty in solving such puzzles, as they often rely on the creator's specific design rather than mathematical logic. Additionally, it is noted that there could be countless valid next terms, emphasizing the ambiguity in predicting the sequence's continuation. Ultimately, the conversation reflects the frustration of guessing the intended pattern behind the numbers.
shroo
Messages
1
Reaction score
0
I've been struggling with this number sequence for some time now, and i can't find the pattern, can anyone help?

the sequence is: 0, 15, 101, 8, 86, 9699, 6008, ... what comes after?

any thoughts?
 
Mathematics news on Phys.org
I used linear regression to produce<br /> x_n = \frac{ -2009823672425 x_{n-1}^2 + 1317576645654994 x_{n-2}^2 + 19713318671536597 x_{n-1} - 131718609410997380 x_{n-2} - 290871998770928574} {43322484909156}<br />though, even if it is a perfect fit, it's probably not what the puzzle designer had in mind, as the next value is<br /> \frac {10226107345860276146148} {3610207075763}<br />and the rest plunge down the negative.
 
There are an infinite number of possible numbers that could be the next term in that sequence.

Problems like this are always silly because you have to guess what the person writing the problem intended.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Thread 'Imaginary Pythagoras'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...

Similar threads

Back
Top