Well, I can't see how to do this. But I will offer this useless tidbit of mathematical (non)information:
In the 2-adic norm, the infinite series 1+2+4+8+16+... converges to -1 (as the formula for infinite geometric series would "predict"). So 2+4+8+16+... converges to -2.
It's a bit like what you get on a
computer (which uses
2's complement,
if you're into that kind of thing). Take 1, then repeatedly
shift left and
add (this is
integer arithmetic we're doing here!). After a
finite number of steps (usually
32 or
64 nowadays), you're just adding
0, so you might as well declare the series has converged on your computer. Guess what? The result is (
binary) 1...111
2, which is precisely -1.
This is not a coincidence.
Mathematical garbage disposed of in an environmentally hazardous manner by the E2WDC -- "Our business is garbage!".