This solution was submitted by Sarah Gray from Archbishop Sancroft High School:

The numbers were -1,1,3,5,10

-1 + 1 = 0 3 + (-1) = 2 3 + 1 = 4 5 + (-1) = 4
5 + 1 = 6 5 + 3 = 8 10 + (-1) = 9 10 + 1 = 11
10 + 3 = 13 10 + 5 = 15

Correct solutions were also received from:

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Rachel Cook West Flegg Middle School
Luke Blackwell and Ian Morris No school given.
Wymondham High School