117
½
½
Yes
1 – ¼·¼ = ¾
2 times
Note that
`2 = 1/½` is the infinite sum `1/2 * 1 + (1-1/2) * 1/2 * 2 + (1-1/2)^2 * 1/2 * 3 + (1-1/2)^3 * 1/2 * 4 + ...`