Question

Fie a(n) o progresie geometrica.Este o progresie geometricasirul b(n) definit prin:
a)b(n)=a(n)^2
b) b(n)=a(n)+a(n+1)
c) b(n)=a(n)*a(n+1) ?

Answer 1

an=a1; a1q; a1q²;a1q³..progresie geometrica,  ratia q

a)bn=a1² a1²q²  a1²q^4; a1²q^6  ..progresie geometrica , ratia q²

b) bn=a1+a1q; a1q+a1q²; a1q²+a1q³, ...progresie geometrica , ratia q

c)bn=a1²q; a1²q³;a1²q^5;a1²q^7...progresie geometrica, ratia q²