CAPE Pure Mathematics Unit 2 · May/June 2019 · Paper 1 · Question Q26

The value of \sum_{r=1}^\infty 2\left[\frac{1}{4}\right]^{r-1} is

1. (A)0
2. (B)\frac{3}{2}
3. (C)2
4. (D)\frac{8}{3}