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 second of two number is 6 more than 3 times the first. The sum of the two number is 30. Find the two numbers​
Put ttje numbers in oreder please thank you for the people that help me.​
What is the distance the athlete had to run?
Select the correct text in the passage. Which words in this excerpt from the Declaration of Independence are emotionally charged? Nor have We been wanting in
I have a bag of m&m's. there are 9 green m&m's and this is 30% of the bag. how many total m&m's are in the bag?
What portion of the DNA is also known as a gene
find the lowest common multiple of 10 and six
President Roosevelt asks Americans to do many things to help their allies in Europe defend themselves from Germany. Check those ideas you found in the passage y
I need help please on all
Solve the system using elimination: 12x - 8y = -12 6x + 4y = -30