Posted by jamesbond on Sunday, May 12, 2013 at 8:24am.
How many of the first 1001 Fibonacci numbers are divisible by 3? I know the correct answer is 250....... but i need solution of how it comes out to be 250........ kindly hellp me sooooooooooon

math  Reiny, Sunday, May 12, 2013 at 8:41am
take a look at the first few of the Fibonacci numbers
1
1
2
3  term 4
5
8
13
21  term 8
34
55
89
144  term 12
...
Every term where the term number is divisible by 4, or, every 4th term will be divisible by 3
so if we have 1001 terms
then term 1000 will be divisible by 3 but term 1001 will not
so we have 1000/4 or 250 terms which are divisible by 3