What is the sum of all the Fibonacci numbers from 1 to infinity. Today I believe I had found the sum of all the Fibonacci numbers are from $1$ to infinity, meaning I had found $F$ for the equation
$F = 1+1+2+3+5+8+13+21+\cdots$
I believe the answer is $-3$, however, I don't know if I am correct or not. So I'm asking if someone can show how $F = -3$.

F = 1 + 1 + 2 + 3 + 5 + 8 + 13 + ...
F = 0 + 1 + 1 + 2 + 3 + 5 +  8  + ...

2F = 1 + 2 + 3 + 5 + 8 + 13 + 21 + ...
2F = F-1 
F = -1
