Question

Determine a soma dos termos das seguintes progressões geométricas infinitas:
a) (3/5, 3/10, 3/20,...) b) (2/10, 2/100, 2/1000,...)

Answer 1

a. (10, 4, 8/5)

q = 2/5

S∞ = a1/1-q

S∞ = 10 / 1 - 2/5 ⇒ 10/3/5 = 10/3 × 5 = 50/3