# Thread: Iteration formula converges to 1 recurring

1. ## Iteration formula converges to 1 recurring

I am just wondering - is there an iteration formula that converges to 1 recurring?

(not 0.11111111111 but 11111111111)

Not simply by saying 111111111 = infinity and then find one that keeps expanding, Im looking for

x0=1
x1=11
x2=111

etc.

Bit of a wierd question I know - But if anyone could show me a way (although I doubt that its possible) Id be very thankful Thanks

2. Do you mean $x_{n+1}=10x_n+1$? (this sequence diverges to $+\infty$; however, one could say that the sequence of its digits converges to a sequence of 1's)

3. Aha well this is embarrassing...

ive been working on this for ages doing really stupidly complex stuff.

Facepalm.

Thanks anyway lol