Problema Solution
Calculate the sum of the following series.
0.27 + 0.0027 + 0.000027 + 0.00000027 + ...
Answer provided by our tutors
0.272727... = 0.27 + 0.0027 + 0.000027 + 0.00000027 + ...
= 0.27 + 0.27(.01) + 0.27(.01)^2 + 0.27(.01)^3 + ...
= 0.27 / (1-.01)
= 0.27 / 0.99
= 27/99
= 3/11