Question

1/2*1/3+1/4*1/9+1/8*1/27+……

Answer 1

Решение смотрите на фотке.

Answer 2

1/6+1/36+1/216+...=1/(1-1/6)-1=6/5-1=0,2

Answer 3

This is an infinite geometric series with first term a = 1/6 and common ratio r = 1/3. We can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

Substituting the values, we get:

S = (1/6) / (1 - 1/3) = (1/6) / (2/3) = 1/4

Therefore, the sum of the infinite series is 1/4.