780
The series can be described as follows:
1st term: 5^0
2nd term: 5^1
3rd term: 5^1 + 1st term
4th term: 5^2
5th term: 5^2 + 1st term
6th term: 5^2 + 2nd term
7th term: 5^2 + 3rd term
8th term: 5^3
9th term: 5^3 + 1st term
10th term: 5^3 + 2nd term
...
16th term: 5^4
17th term: 5^4 + 3rd term
18th term: 5^4 + 4th term
. . .
30th term: 5^4 + 14th term = 625+155=780