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

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