-2
$\begingroup$

What is the next number in the sequence: 1 4 23 25 26 ?

Also, could you answer the logic that goes with it.

$\endgroup$

closed as too broad by Fabich, Deusovi, Gamow, Khale_Kitha, Mike Earnest May 25 '16 at 23:24

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

2
$\begingroup$

The next number is:

28

Method:

I plugged the numbers into hexadecimal to text convertor and found the following sequence: #%&. I found this interesting because on my keyboard, it's the shift position for the values 3, 5, and 7 on a computer.

enter image description here

Therefore, the next logical step is Shift-9, or (. The full correct sequence is #%&(, and ( in hex is the number we need.

I think the 1 and 4 are red herrings, or just cool because today I learned about SOH and EOT.

$\endgroup$
  • 1
    $\begingroup$ You surely rock! $\endgroup$ – Nickil Maveli May 25 '16 at 21:07
  • 1
    $\begingroup$ Oh snap, my first solved puzzle! Thank you :D $\endgroup$ – Adib May 25 '16 at 21:18
  • $\begingroup$ Well this just does not work here in the U.K. as $23$ would need to be $A3$. It also wont work for standard keyboards in France, Germany, Italy, Norway, Portugal, Spain, Sweden, or Finland - not to mention any of the countries outside of Europe, some of which are quite large like China, India, Russia and Brazil. $\endgroup$ – Jonathan Allan May 26 '16 at 1:06
  • $\begingroup$ @JonathanAllan That's true. I guess the original questionnaire had to be more clear with the question. Otherwise, I guess based on what he thought was right, I solved the puzzle $\endgroup$ – Adib May 26 '16 at 1:19
7
$\begingroup$

The next number is

91

Because it is

The closest integer value of the polynom. $2.04 x^4 - 25.9 x^3 + 112.4 x^2 - 183.5 x + 96$
for x=6, the previous numbers being the values from 1 to 5

$\endgroup$
  • $\begingroup$ Wow! There must be a simpler way than that. $\endgroup$ – Nickil Maveli May 24 '16 at 18:16
  • 1
    $\begingroup$ @NickilMaveli in case you didn't realize, fffred is not really seriously suggesting this as an answer... $\endgroup$ – Memming May 24 '16 at 18:21
  • 4
    $\begingroup$ There should be a special markup for sarcasm. $\endgroup$ – Marius May 24 '16 at 18:52
4
$\begingroup$

This was a trick question.

There are no other numbers in the sequence

...because

All the numbers in the sequence are the solutions to the equation $x^5-79 x^4+2197 x^3-24361 x^2+82042 x-59800 = 0$ and there are only 5 of them.

$\endgroup$
  • $\begingroup$ Boom. Solid answer. Clearly it's the only correct answer, it should be accepted already. XD $\endgroup$ – Reti43 May 24 '16 at 23:06
  • $\begingroup$ @Reti43. You forgot to use the "sarcasm" markup in your comment. $\endgroup$ – Marius May 25 '16 at 6:25
  • 1
    $\begingroup$ @Marius I think that XD counts as <sarcasm> $\endgroup$ – bleh May 26 '16 at 1:55

Not the answer you're looking for? Browse other questions tagged or ask your own question.