Answer:
8.987 (Approximate)
Step-by-step explanation:
We have to find the sum of a G.P. series up to sixth terms.
The first term of the series is 6 and common ratio is [tex]\frac{1}{3}[/tex].
So, the sum is
[tex]6 + 2 + \frac{2}{3} + \frac{2}{9} + \frac{2}{27} + \frac{2}{81}[/tex]
= [tex]6 \times \frac{1 - (\frac{1}{3})^{6}}{1 - \frac{1}{3} }[/tex]
= 8.987 (Approximate) (Answer)
We know the sum of a G.P.
a + ar + ar² + ar³ + ......... up to n terms = [tex]a\frac{1 - r^{n}}{1 - r}[/tex]
where -1 < r < 1.
