Question

calcule a soma dos infinitos termos de cada p.g a seguir:

a) (12,6,3...)

b) (1, 1/5, 1/25,....)

c) (-24,24,0,24,...)

d) (16,-4,1,...)

e) (1000,20,2/5,...)

Answer 1

a)
S∞ = 12/1 - 1/2
S∞ = 12/1/2
S∞ = 24

b) 
S∞ = 1/1 - 1/5
S∞ = 1/4/5
S∞ = 5/4
S∞ = 1.25

c) Não é P.g

d)
S∞ = 16/1 - 1/4
S∞ = 16/3/4
S∞ = 64/3
S∞ = 21.33

e)
S∞ = 1000/1 -1/50
S∞ = 1000/49/50
S∞ = 50000/49
S∞ = 1020,40