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

the center of a circle of a circle is at Q(0,6), a radius is drawn from Q to P(4,6). what are the coordinates of the endpoint of the diameter that includes segm
What is one theme found in Walt Whitman's "I Hear America Singing"?
Which equation represents the number of inches (i) a snail crawls if it crawls 7.6 inches per hour (h)? How far will the snail crawl in 8 hours?
What is the equation of a line that is perpendicular to −x+3y=9 and passes through the point (−3, 2) ?
what is the difference between algebraic expression and algebraic equation?
a cd usally sells for 17.00 if the CD is 30% off and the sales tax is 8% what is the total price of the CD including tax
Which car has the most kinetic energy? (PLEASE HELP NEED ANSWER ASAP)
What is the equation?
Define the terms, symbol and logo. Think about how they are similar and/or different
answer this questions for 40 points! :) it is attached.