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

What is a danger the family faces while living on the island? A. a protective gorilla B. a charging rhinoceros C. a killer whale D.
let’s say you have a mixture of 100 iron-rich magnetic particles and 100 grains of table salt. Come up with at least three different ways to separate the parti
A child throws a penny straight down into a wishing well. The penny's initial speed is 2 m/s. If the penny takes 3 seconds to hit the water, how deep is the we
What value of x will make the given triangles congruent?
True or false? About 10 1/2 million more people live in Cairo than in Washington DC?
Name Loaves Baked Who baked more? Quentin 5/6 Abra or Kareem Abra 2/3 Irene or Quentin Neil
HELP PLEASE MATH QUESTION
the chiefs of the sahel grew rich from___
The last step in ratifying an amendment to the U.S. Constitution requires
Yearly homeowner property taxes are figured at a rate of $1.15 tax for every $100 of home value. Find the property taxes on a townhouse valued at $73,000.