What comes next in the following series - 10, 14, 26, 42, 70, ?

Question

Find the number that comes next in the following series:

3, 7, 12, 14, 16, 19, 21, 25, 30, 41, 45, 52, 54, 56, 59, 61, 65, 70, ?

Answer 1

See the logic below:
14 - 10 = 4 26 - 14 = 12 42 - 26 = 16 70 - 42 = 28
Then,
4 + 12 = 16, 12 + 16 = 28 ,and 16 + 28 = 44
Then , the next number is
70 + 44 = 114

Answer 2

14-10=4
26-14=12
42-26=16
70-42=28
Divide each difference by 4 and it's the fibonacci series starting from 1, 3.
7+4=11 11x4=44 70+44=114
So, next term is 114