Answer:
The sum of this geometric series to infinity = (1000/81) = 12.35
Step-by-step explanation:
The sum to infinity of a geometric series is given as
S = a/(1 - r)
where a = first term = (100/81)
r = common ratio = [(n + 1)th term] ÷ [nth term] = (second term) ÷ (first term)
r = (10/9) ÷ (100/81) = (9/10) = 0.9
S = a ÷ (1 - r)
S = (100/81) ÷ (1 - 0.9)
S = (100/81) ÷ 0.1
S = (1000/81) = 12.35
Hope this Helps!!!
