Respuesta :
C
the sum to infinity of a geometric series = [tex]\frac{a}{1-r}[/tex]
where a is the first term and r the common ratio
= [tex]\frac{81}{\frac{1}{3} }[/tex] = 81 × 3 = 243
The sum of an infinite geometric series will be 243. Then the correct option is C.
What is a series?
A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
If the first term is 81 and the common ratio is 2⁄3.
Then the sum of an infinite geometric series will be
[tex]\rm S_{\infty} = \dfrac{a}{1-r}\\\\\\S_{\infty} = \dfrac{81}{1-2/3}\\\\\\S_{\infty} = \dfrac{81}{1/3}\\\\\\S_{\infty} = 81 \times 3\\\\S_{\infty} = 243[/tex]
More about the series link is given below.
https://brainly.com/question/10813422
#SPJ2
