For n ≥ 2, let S n denote the set of all subsets of \1, 2,, n with no two consecutive numbers. For example, \1, 3, 5 S₆, but \1, 2, 4 S₆. Then n(S₅) is equal to _ _ _

Unclassified (maths): JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q200

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)

For

n \geq 2

, let

S_n

denote the set of all subsets of

\{1, 2, \ldots, n\}

with no two consecutive numbers. For example,

\{1, 3, 5\} \in S_6

, but

\{1, 2, 4\} \notin S_6

. Then

n(S_5)

is equal to _____

Your answerInteger or decimal