Search This Blog

Tuesday, August 21, 2012

Fibonacci numbers

Today at Enrich for math we did Fibonacci numbers. They are a sequence of numbers where you add the two number before the number for example 0 and one make 1. Here's the first 100 numbers:

 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811 29514229 832040 1346269 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 1134903170, 1836311903, 2971215073, 4807526976, 7778742049, 12586269025, 20365011074, 32951280099, 53316291173, 86267571272, 139583862445, 225851433717, 365435296162, 591286729879, 956722026041, 1548008755920, 2504730781961, 4052739537881, 6557470319842, 10610209857723, 17167680177565, 27777890035288, 44945570212853, 72723460248141, 117669030460994, 190392490709135, 308061521170129, 
498454011879264, 806515533049393, 1304969544928657, 2111485077978050, 3416454622906707, 
5527939700884757, 8944394323791464, 14472334024676221, 23416728348467685, 37889062373143906, 61305790721611591, 99194853094755497, 160500643816367088, 259695496911122585, 420196140727489673, 679891637638612258, 1100087778366101931, 1779979416004714189, 2880067194370816120, 4660046610375530309, 7540113804746346429, 
12200160415121876738, 19740274219868223167, 31940434634990099905, 51680708854858323072, 83621143489848422977, 135301852344706746049, 218922995834555169026, 354224848179261915075.


It get's very high numbers in the first hundred numbers. It was very fun this morning and here's a picture of Fibonacci. The largest Fibonacci number has 465 digits 

4346655768693745643568852767504062580256466051737178040248172908953655 
5417949051890403879840079255169295922593080322634775209689623239873322 
471161642996440906533187938298969649928516003704476137795166849228875
 

We explored how a Honey bee's family tree was like the Fibonacci sequence.

1 comment:

  1. WOW! That is amazing, none of us knew that. We still don't quite understand it.

    From the triangles writing group

    ReplyDelete