Number sequence problem

Question

0

707

6

Here is a sequence of 3 numbers:

13

202

2626

What is the next number in the sequence?

Guest Feb 15, 2014

Rom · Answer 1 · 2014-02-15T09:13:42

Quote:
Here is a sequence of 3 numbers:
13
202
2626

What is the next number in the sequence?

13
202 = 101x2
2626 = 101x2x13

So the next number should be

101x2x13x202 = 530452

Guest · Answer 2 · 2014-02-23T06:50:37

Rom, this is not the correct answer. I don't recognize your answer as any type of number that would suggest a logical sequence.

hscr

I like Serena · Answer 3 · 2014-02-23T07:04:37

hscr:
Here is a sequence of 3 numbers:
13
202
2626

What is the next number in the sequence?

The OEIS lists it as the powers of 10 written in base 7.

https://oeis.org/search?q=13%2C202%2C2626

In that case the next number is 41104.

Rom · Answer 4 · 2014-02-23T08:01:21

wouldn't have guessed that one in a million years. Thanks Serena

Melody · Answer 5 · 2014-02-23T09:03:07

That was an interesting one. I would never have guessed it either. Thanks ILS
Thanks for the site too.

Guest · Answer 6 · 2014-02-24T07:51:35

Very good! It is very helpful to do some arithmetic in a few different number systems and to do it manually. A good exercise for sure.

hscr