Question

Fie a₀ un numar natural. Definim multimea A={$a_{0}, a_{1}, a_{2} , a_{3},.., a_{n},...$} unde $a_{1}= \sqrt{ a_{0}^2 +1},..., a_{n+1}= \sqrt{ a_{n}^2 +1},....$. Aratati ca A-Q≠(multimea vida). Mersi

Answer 1

daca a0= 0 a1=1 a2=rad2 apartine A-Q
daca a0= 1 a1=rad2 apartine A-Q

daca a0 mai mare egal 2 a1este irational ca cantitatea de sub radical nu e patrat perfect