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?
3 answers
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.
31/32
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.
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.
1 answer