Take any Three consecutive fibonacci numbers: multiply the outer Two numbers, Squre the inner one. Do this At Least 6 times. What conjecture can you make?

Answer 1

1 1 2 3 5 8 13 21 34 ...
take 2 3 5 -->10 , 9

take 3 5 8 ---> 24 , 25

take 5 8 13 ---> 65 , 64

take 8 13 21 --> 168 , 169

see a pattern ?