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The sequence     1,1,2,3,5,8,13,21     has the property that each term (starting with the third term) is the sum of the previous two terms. How many of the first 1000  terms are divisible by $5$?

 Dec 22, 2021
 #1
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There are 40 terms that are divisible by 5.

 Dec 22, 2021
 #2
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Ever 5th Fibonacci number is divisible by 5. Since you have 1,000 terms, then that means:

 

1,000 / 5 ==200 terms that are divisible by 5.

 Dec 24, 2021

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