[JEE Advanced 2012] paragraph a n number of n digit positive integers using 0 1 with no
(Paragraph) $a_n$ = number of $n$-digit positive integers using $0,1$ with no two consecutive $0$s; $b_n$ end in $1$, $c_n$ end in $0$. The value of $b_6$ is
(a) $7$
(b) $8$
(c) $9$
(d) $11$
1 Answer
VAVidaara Admin
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· 2d ago
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Correct answer: (b) $8$
$a_n$ is Fibonacci ($1,2,3,5,8,13,\dots$) and $b_n=a_{n-1}$, so $b_6=a_5=8$.
JEE Advanced 2012 · Permutations and Combinations — verified solution by the Vidaara Team.
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