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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 -

    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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