theweekndxoxo7574 theweekndxoxo7574
  • 03-04-2018
  • Mathematics
contestada

What is the sum of the finite geometrice series?

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

Respuesta :

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!
Answer Link

Otras preguntas

Which statement about ecosystems is FALSE? O All of these statements about ecosystems are false. O Ecosystems are closed systems. O Most ecosystems occur on lan
how to connect two monitors to one computer with one hdmi port
Given f (x) = x2 + 5x + 6, what is f of the quantity 2 plus h end quantity minus f of 2 all over h equal to?
SOLVE FOR X SOLVE FOR EACH ANGLE (x + 35)° (3x + 1)º
3 facts that describe way of life in china
Please help with this real quick, its in attached image..
In a laboratory, a student combines vinegar and baking soda into a beaker. The initial temperature is 28 degrees Celsius and the final temperature reading two m
Where do you think the United States had the most influence in the Pacific: China, Japan, or Hawaii?
the three importance of architecture​
What is the purpose of this story?