Answer:
The sun of the infinite geometric series is 468
Step-by-step explanation:
The sum of an infinite geometric series is given by;
[tex]S_{\infty} = \frac{a}{1 - r} [/tex]
where a=156 is the first term and
[tex]r = \frac{2}{3} [/tex]
is the common ratio.
We substitute these values into the above formula to get:
[tex]S_{\infty} = \frac{156}{1 - \frac{2}{3} } [/tex]
[tex]S_{\infty} = \frac{156}{ \frac{1}{3} } [/tex]
[tex]S_{\infty} =156 \times 3[/tex]
[tex]S_{\infty} = 468[/tex]
