Find the next term in the series given below:6, 13, 25, 51, 101, __

The given series is: 6, 13, 25, 51, 101

To find the pattern, let's look at the differences between consecutive terms:

13 - 6 = 7 25 - 13 = 12 51 - 25 = 26 101 - 51 = 50

The differences between the terms are not constant, so this is not an arithmetic sequence. However, the differences themselves seem to form a pattern: each is roughly double the previous difference.

If we continue this pattern, the next difference should be roughly double the last difference (50), which is 100.

Adding this difference to the last term in the series (101) gives us the next term:

101 + 100 = 201

So, the next term in the series should be 201.