I have been trying to solve this question but I am not sure how to, and would appreciate some help. Thanks.
Simplify: $$\frac{1}{4} +\frac{1}{4^2} +\frac{4^2}{4^3} +\frac{4^2}{4^4} +\frac{4^4}{4^5} +\frac{4^4}{4^6} +\ldots +\frac{4^{102}}{4^{103}} +\frac{4^{102}}{4^{104}}.$$