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

Consumers rely on cellular respiration to provide their cells with
In 1-2 sentences, explain why salt was as important a resource as gold in West Africa.
Maria owns a bakery and bakes many different types of yeast breads. One day she notices that the bread she baked is flat and does not contain the air bubbles th
what connotation does the word struggle have that adds to the poem's tone
what did we know about elizabeth and john proctor
URGENT NEED OF HELP PLEASE ILL GIVE BRAINLEST
What were the cons of Texas joining the U.S.?
What are some environmental push and pull factors?
PLZZZ help!!Which theorem would show that the two right triangles are congruent?A. SAS Triangle Congruence TheoremB. HL Triangle Congruence TheoremC. ASA Triang
If a ball has kinetic energy of 1000 joules and a speed of 5m/s, what is its mass?