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Fibonacci sequence is defined as follows...

Fibonacci sequence is defined as follows :
`a_(1)=a_(2)=1` and ` a_(n)=a_(n-2)+a_(n-1)`, where `n gt 2`. Find third, fourth and fifth terms.

Text Solution

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`a_(1)=a_(2)=1`
`a_(n)=a_(n-2)+a_(n-1),n gt 2`
put n = 3 , we get
`a_(3)=a_(1)+a_(2)=1+1=2`
put n = 4, we get
`a_(4)=a_(2)+a_(3)=1+2=3`
put n=5, we get
`a_(5)=a_(3)+a_(4)=2+3=5`
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