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 the value of the x variable in the solution to the following system of equations? 4x − 3y = 3 5x − 4y = 3 (5 points) x can be any number as there are in
At a gas station, the price of a regular gas was $3.80 per gallon on monday. the price increased to $3.85 per gallon on tuesday. round the price per gallon for
Ted is asked to multiply 10^2 times 18.72.How many places and in which direction should he move the decimal point to get the correct product?
How is personification used in turnball
9 is 35 percent of what number
Box of 12 golf balls costs $45. what is the unit rate
If an object is moving at the speed of 36 kilometers per hour, how many meters does it travel in one second?
Interest groups are often critcized for
How is personification used in turnball
Which of india’s regions is the most highly populated??