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?
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 ?