1. We started with 1+1+2= 4 then we tried 1+2+3= 6 then 2+3+4= 10 and then we realised that 4+6= 10 so it's the same rules the Fibonacci sequnces. This is because two Fibonacci consequtive numbers added togheter equals the next number so three so three consecutive Fibonacci numbers added tighter will make a different sequence but will still have a similar rule.
2. We first started with 1,1,2,3 and we added 1 and 3 and dived it by 2 and got 2 which was the 3 third number in that sequence so we tested our theory on another set on of consecutive numbers - 2,3,5 and 8- and our theory. The theory is the first number added the fourth number dived by 2 equals the third number in the sequences.
P.S if you want to know my teacher's email is Jessica.wright@tts.edu.sg if you want to contact her.