The sequence given is 7, 10, 1 (likely a typo for 16). Assuming the common known sequence is 7, 10, 16, 28,..., the pattern can be identified by looking at the differences:
- 10 - 7 = 3
- 16 - 10 = 6
- 28 - 16 = 12
The differences themselves double each time (3, 6, 12, ...), so the next
difference should be 12×2=2412\times 2=2412×2=24. Adding this to the last
number:
28+24=5228+24=5228+24=52. Therefore, the next number in the sequence is 52.
