Find the age

Level 1

John has eight cats, the ages of the cats differ in a sequence.

The age of the first cat is 1.

The second is also 1.

The third is 2.

The fourth is 3.

And the fifth is 5.

So what is the age of the eighth cat?


The answer is 21.

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3 solutions

Rajat Verma
May 5, 2014

ages of the cats follow a pattern called Fibonacci series i,e. 1 1 2 3 5 8 13 21 34 & so on

Ishika Ime
Apr 7, 2014

The ages of the cats maintain a pattern that the addition of serially every two cat is the age of the third cat.

Here 1st cat's age is 1, the second one's is also 1.So the third is 1+1=2.In this way the fourth cat's age is 2nd and third one's addition and it is 1+2=3..

In this way the pattern goes= 1,1,2,3,5,8,13,21....

So now we get that the age of the 8th cat is 21..

Nancy Suri
Feb 1, 2014

The ages of the cats are in the sequence: 1,1,2,3..... where the age proceeds by the sum of ages of last two cats, i.e. age of 1st cat 1, age of 2nd cat, 0+1=1, age of 3rd cat, 1+1=2 age of 4th cat, 2+1=3, age of 5th cat, 2+3=5.... proceeding the same way, age of 8th cat comes out to be 21.

And this kind of sequence is called Fibonacci sequence.

Armun Alam - 7 years, 4 months ago

yup... I have read about them.... :)

Nancy Suri - 7 years, 4 months ago

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