Given F1=1,F2=3 and Fn=Fn-1+Fn-2 then F5 is a) 3 b)5 c)8 d)9
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answer is 11
the series is 1,3,4,7,11,18...
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F₅= 11
Step-by-step explanation:
F₁ = 2
F₂ = 3
Fₙ = Fₙ₋₁ + Fₙ₋₂
putting n = 3
=> F₃ = F₂ + F₁
=> F₃ = 3 + 1
=> F₃ = 4
putting n = 4
=> F₄= F₃ + F₂
=> F₄= 4 + 3
=> F₄= 7
putting n = 5
=> F₅= F₄ + F₃
=> F₅= 7 + 4
=> F₅= 11
F₅= 11
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