Hello srinu mylapalli

I hope you are doing good. First I would lke to do some correction in your question which i do think you have miswritten it . Following is the corrected question

2,2,5,13,28

the above question is following the pattern with below logic:

2+square of(1)-1=2

2+square(2)-1=5

5+square(3)-1=13

13+square(4)-1=28

28+square(5)-1=52

52 will be the next term in ther series

Hope you found this answer helpful. Good luck for your future