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Daisy found out that for the first problem, if you added three consecutive Fibonacci numbers together the answers would be in the same sequence to the Fibonacci sequence. For example;
1+1+2=4 1+2+3=6 2+3+5=10 -
4+6=10
Hollie found out that for the second problem, if you chose any four consecutive Fibonacci numbers and added the last and first numbers, then divided by two it would give you the third number. For example;
3,5,8,13 - 3+13=16 then divide by two, it equals 8.
Eleanor found out that for the third problem, if you added 6 consecutive Fibonacci numbers and divide it by 4, you will get the fifth number. For example;
1+1+2+3+5+8=20 then divide it by four, it equals 5.
Lillie found out that for the fourth problem, if you added eight consecutive Fibonacci numbers together and divided it by three, the answers would be in the same sequence to the Fibonacci sequence. For example;
1+1+2+3+5+8+13+21=54 divided by 3 equals 18
1+2+3+5+8+13+21+34=87 divided by 3 equals 29
2+3+5+8+13+21+34+55=141 divided by 3 equals 47
18+29=47