Question

if u know how to solve this plz give me answer ​

Answer 1

Answer:

1,1,$\frac{1}{4}$,$\frac{1}{16}$,$\frac{1}{52}$

Step-by-step explanation:

You have not typed the question in full. so, i take the question as "Generate next 3 terms of the sequence"

given, a₁ = 1; a₂ = 1  ;

also,  aₙ = $\frac {a_{n-1} }{ a_{n-2 }+3 }$  where n≥3; n∈N

a₃ = $\frac {a_{3-1} }{ a_{3-2 }+3 }$ = $\frac {a_{2} }{ a_{1 }+3 }$  = $\frac{1}{1+3}$ = $\frac{1}{4}$ ;

a₄ = $\frac {a_{4-1} }{ a_{4-2 }+3 }$ = $\frac {a_{3} }{ a_{2 }+3 }$  = $\frac{\frac{1}{4} }{1+3}$ = $\frac{1}{4*4}$ = $\frac{1}{16}$;

a₅ = $\frac {a_{5-1} }{ a_{5-2 }+3 }$ = $\frac {a_{4} }{ a_{3}+3 }$  = $\frac{\frac{1}{16} }{\frac{1}{4}+3}$ = $\frac{\frac{1}{16} }{\frac{13}{4} }$= $\frac{1}{16}$*$\frac{4}{13}$ = $\frac{1}{4*13}$=$\frac{1}{52}$;