- #1

- 10

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## Main Question or Discussion Point

please guide me on how to discover the formula for this sequence --> 1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,7,8,...

responses are highly appreciated.

responses are highly appreciated.

- Thread starter spiritzavior
- Start date

- #1

- 10

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please guide me on how to discover the formula for this sequence --> 1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,7,8,...

responses are highly appreciated.

responses are highly appreciated.

- #2

coolul007

Gold Member

- 262

- 7

- #3

- 841

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I don't understand how you would continue this sequence as 10,11,12,... are not digits. This makes it improvable that you have a sequence of recurring digits.please guide me on how to discover the formula for this sequence --> 1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,7,8,...

responses are highly appreciated.

- #4

coolul007

Gold Member

- 262

- 7

There is either not enough information or the process repeats modulo 10.I don't understand how you would continue this sequence as 10,11,12,... are not digits. This makes it improvable that you have a sequence of recurring digits.

- #5

- 37

- 0

Why does it matter that they are not digits? why can't you have:I don't understand how you would continue this sequence as 10,11,12,... are not digits. This makes it improvable that you have a sequence of recurring digits.

......1,2,3,4,5,6,7,8,9,10,11,12,1,2,3,4,5,6,7,8,9,10,11,12,13,14.......

for example? If you really need a sequence of digits rather than numbers you can just take out the commas:

......1234567891011121234567891011121314.......

- #6

- 795

- 7

OEIS is the answer to all these kinds of questions.I don't understand how you would continue this sequence as 10,11,12,... are not digits. This makes it improvable that you have a sequence of recurring digits.

http://oeis.org/search?q=1,2,1,2,3,4,1,2,3,4,5,6,1,2,3,4,5,6,7,8&language=english&go=Search

- #7

- 841

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I was confused by the title in which the op called it a sequence with recurring digits rather than a sequence of numbers. It is not a sequence of digits because the 30th term is 10 which is not a digit.Why does it matter that they are not digits? why can't you have:

......1,2,3,4,5,6,7,8,9,10,11,12,1,2,3,4,5,6,7,8,9,10,11,12,13,14.......

for example? If you really need a sequence of digits rather than numbers you can just take out the commas:

......1234567891011121234567891011121314.......

- #8

- 10

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what i really mean as a sequence is this 1,2,1,2,3,4,1,2,3,4,5,6,...,1,2,3,4,5,6,7,8,9,10,11,12,1,2,3,4,5,6,7,8,9,10,11,12,13,14,...

- #9

- 10

- 0

some more detailed answer/s please.

- #10

coolul007

Gold Member

- 262

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My lack of LaTex knowledge may make this awful, but the idea is a nested sequence, I couldn't find the "s" symbol.

- #11

- 841

- 0

See the link in the SteveL27 post 6. That link includes a formula for the nth term of the series. I don't think there is a more detailed treatment than that.some more detailed answer/s please.

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