Question

So there's a sequence:
0, 1/2, 3/4, 7/8, 15/16,...
and I have to find the pattern and the next two numbers. I don't understand how I should go about doing this. I don't believe it uses multiplication or division as it starts with 0. Help?

Answer 1

It looks like denominator is doubled each time, and the numerator is always one less than the denominator. From this, you should be able to find the next two numbers.

Answer 2

31/32

Answer 3

Notice the denominator is progressing at powers of 2:
2^1 = 2, 2^2 = 4, 2^3 = 8, 2^4 = 16.
Then the numerator is the denominator minus 1; therefore,
2^1 - 1 = 1, 2^2 - 1 = 3, 2^3 - 1 = 7, 2^4 - 1 = 15.