solve multiple implicit coupled equations?

How can I solve this system of equations?

I0=-1*a+b*(exp(v0/c)-1);

I1=-2*a+b*(exp(v0/c)+exp(v1/c)-2);

I2=-3*a+b*(exp(v0/c)+exp(v1/c)+exp(v2/c)-3);

v0=v1+I0*R;

v1=v2+I1*R;

v2=v3+I2*R;

where v3=-0.1:0.01:0.5