# Gibonacci Series Limit as p approaches Infinity

To confirm the above assertion of the relationship between the Gibonacci sequences and 2^{n-p}, we shift from the notion of *p* as having a specific integer value and instead examine the case of the upper boundary of *p*, considering the logic of p=all, or rather the integer sequence produced by starting with a 0 and a 1, then adding all the previous values of the sequence together to produced the next value in the sequence. This logic produces the following values:

0, 1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096…

This result, expressed formally is

1.9

So we can see that the logic of the Gibonacci series ultimately leads to the aforementioned approximation of 2^{n-p}.