Find the next three in the sequence:
0.3333..., 0.3, 0.252525..., 0.222..., 0.2, 0.131313..., ?, ?, ?
I got my answer by putting everything into fractions like most did. Then I got 990 as the least common denominator. I figured the sequence may be two sets of three numbers and the third set is whats needed. Doing this I got;
330/990, 297/990, 250/990, 220/990, 198/990, 130/990
Using the difference of the first two numerators, 2nd two, etc... I got 110/990, 99/990, and 10/990 or .1111, .1, .010101 as the three numbers.
It seemed like a long shot but the last three numerators happen to be the three multipliers needed to get the other fractions into the LCD.
Long shot solution
