Question

what is the next number in this sequence 7,10,16,28,52

Answer 1

Every time, you add the amount of the previous number added. 
So, 

7 + 3 = 10
10 + 3(2) = 16
16 + 6(2) = 28
28 + 12(2) = 52
52 + 24(2) = 100

So the next number in the sequence is 100. 
Hope I helped!!

Answer 2

They increase by 3,6,12,24  so next increase would be 48   so the neat number is 52+48  = 100