The next number should be 6.
The pattern is created using two alternating operations: add 5, then subtract seven
Expanding the series a bit...
Number: 5 10 3 8 1 6 -1 4
Difference: 5 -7 5 -7 5 -7 5
Hope that helps
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5 10 3 8 1 6 -1
what you need to do is check for the pattern... for 5 to get to 10 5 was added, to get from 10 to 3, 7 was subtracted;
in the same way from 3 to get to 8, 5 was added, then 7 was subtracted to get 1.