Home › Previous year questions › GATE 2023 MA › Question 7GATE 2023 MA – Question 7 General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 2 marks · Multiple choice
Ankita climbs five stairs from the ground, moving either one or two stairs up each time and never down. F(N) is the number of ways to reach stair N; F(1)=1,F(2)=2,F(3)=3. Find F(5).
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Show answer and explanation Correct answer: (A) 8
Explanation The last move reaches N from N−1 or N−2, so F(N)=F(N−1)+F(N−2). F(4)=3+2=5 and F(5)=5+3=**8, A**.
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