if x = 4/1+(4/1+(4/1+(4/1+(4 ........))))......upto infinite then x^2 + x = ?

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06 Mar 2012 infinite sequence

if x = 4/1+(4/1+(4/1+(4/1+(4 ........))))......upto infinite
then x^2 + x = ?

OPtion

1) 1
2) 2
3) 3
4) 4
5) 5
6) 6
7) 7
8) 8
9) 9
10) none of these

Solution

According to the given condition x = 4/(1+x) implies that x^2 + x = 4

Correct Option: 4 Best Solution (6)