Question

calcule a soma da série infinita: 1 + 2/5 + 4/25 + 8/125 +...

Answer 1

Pg infinita de razão 2/5 : 1 = 2/5
Sn = a1/(1-q)
Sn = 1/(1-2/5)
Sn = 1/(3/5)
Sn = 5/3

Answer 2

Boa tarde Monalyza

S = 1 + 2/5 + 4/25 + 8/125 + ...

S = ∑ (5/2)^(1 - n) 

a soma infinita de  ∑ (5/2)^(1 - n) = 5/3