I have the sequence: <1, 3/2, 7/4, 15/8, 31/16, 63/32,...> and I need to find a formula to describe it. Can anyone help? I must have missed the day when this was taught.
I have the sequence: <1, 3/2, 7/4, 15/8, 31/16, 63/32,...> and I need to find a formula to describe it. Can anyone help? I must have missed the day when this was taught.
The numerator can be defined recursively. Let
Here is a hint: the number is the sum of the geometric series $\displaystyle 2^n$