Answer:
328
Step-by-step explanation:
[tex]\frac{a}{1-r}[/tex] is the equation for the sum of an infinite geometric series, where [tex]a[/tex] is the first term of the infinite geometric series, and r is the common ratio between the terms. Here, we can find the common ratio between any consecutive terms. [tex]\frac{209.92}{262.4} = \frac{4}{5}[/tex]
Therefore, [tex]\frac{a}{1-\frac{4}{5}} = 1640[/tex].
This simplifies to [tex]5a = 1640[/tex]
Therefore, [tex]a = 328[/tex]
