Next number 1/16, 1/6, 1/4, 1/2, 1, 2
The pattern in the given sequence is that each number is double the previous number.
So the next number in the sequence would be:
2 x 2 = 4.
Therefore, the next number in the sequence is 4.
To find the next number in the sequence 1/16, 1/6, 1/4, 1/2, 1, 2, we can observe the pattern and calculate the ratio between consecutive terms.
1/16 ÷ 1/6 = 6/16 = 3/8
1/6 ÷ 1/4 = 4/6 = 2/3
1/4 ÷ 1/2 = 2/4 = 1/2
1/2 ÷ 1 = 1/2
1 ÷ 2 = 1/2
From the pattern we can tell that the ratio between consecutive terms is getting larger by a factor of 2 each time, except for the first three terms where it is decreasing. Therefore, the next number in the sequence should be obtained by multiplying the previous term (2) by 2:
2 × 2 = 4
Therefore, the next number in the sequence is 4.