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  • 03-04-2018
  • Mathematics
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What is the sum of the finite geometrice series?

3+9+27+81.....+6561

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ramaaabdou
ramaaabdou ramaaabdou
  • 03-04-2018
This is a geometric series that looks like;
[tex]3+3(3)+3(3)^2+...+3(3)^7[/tex]
with [tex]a=3[/tex] and [tex]r=3[/tex]
And the sum of any geometric series =[tex]\frac{a(1-r^{n+1} )}{1-r}[/tex]
where n is the highest power, which is 7 in this case.
so,
The sum of this series=[tex] \frac{3(1-3^8)}{1-3}= 9840[/tex]
Hope this helps!
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