ANSWER:
A) 243
STEP-BY-STEP EXPLANATION:
We have the formula to calculate the sum to infinity of a geometric series is the following:
[tex]s=\frac{a}{1-r}[/tex]Where a is the first term and r is the common ratio, therefore, we replace and we are left with:
[tex]s=\frac{81}{1-\frac{2}{3}}=\frac{81}{\frac{1}{3}}=81\cdot3=243[/tex]The sum of an infinite geometric serie is 243