The sum to infinity of the geometric sequence is 63
The formula for determining the sum of an infinite geometric sequence is expressed as;
[tex]S = \frac{a}{1 - r}[/tex]
Given that the common ratio is less than 1.
Now, let's substitute the value into the formula
S = [tex]\frac{18. 9}{ 1 - (-0. 3)}[/tex]
simplify further
S = [tex]\frac{18. 9}{1 + 0. 3}[/tex]
S = [tex]\frac{18. 9}{1. 3}[/tex]
S = 63
Hence, the sum to infinity of the geometric sequence is 63
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