In the number series 1, 4, 10, 19, 31, the next term is _______. – UGC NET Question

The differences are 3, 6, 9 and 12, which themselves increase by 3 each time. The next difference should therefore be 15. Adding 15 to the last term 31 gives 46. Thus, 46 is the correct next term that continues the pattern of adding multiples of 3.

Option A:
Option A is 42, which would give a difference of 11 from 31. This does not match the expected next difference of 15. Therefore, 42 is inconsistent with the difference pattern.

Option B:
Option B is 44, producing a difference of 13, which also fails to align with the +3 sequence in the differences. It introduces an odd increment without justification. Hence, 44 cannot be accepted.

Option C:
Option C equals 46 and yields a difference of 15, precisely continuing the 3, 6, 9, 12 sequence. The extended difference list 3, 6, 9, 12, 15 is fully consistent, confirming 46 as the correct answer.

Option D:
Option D is 48, which leads to a difference of 17 from 31. This value has no place in the pattern of differences and therefore breaks the structure. So, 48 is not suitable.