What are the next two numbers in the pattern of numbers 45,15,44,17,40,20,31,25

14, 32

Step-by-step explanation:

45,15,44,17,40,20,31,25

this is combination of 2 series:

45-44-40-31-? 15-17-20-25-?

In the first series we can see the pattern as:

-1, - 4, - 9 = - 1², - 2², - 3² so next difference must be - 4², which is 31 - 16 = 14

In the second series we can see the pattern as:

2, 3, 5 prime numbers, so next difference must be 7, which is 25+7=32

The series will continue as:

45, 15, 44, 17, 40, 20, 31, 25, 14, 32