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

When was George Washington born
The interior of Australia is hot and dry because it receives little rain, True False
The slope of the line below is 1.write the point-slope equation for the line using the coordinates of the labeled point.
Identify the domain and range.
Tony’s Electronics is marking down the price of a TV 23% from the original price of $175. Which expression can be used to find the sale price. 175 + 0.23(175) 2
Three people enter in a long distance race up a mountain. Assume that all three have an identical amountof total oxygen delivered to their bodies per minute and
The expression 7z-9p+9z-z
round 7,363.923 to nearest hundredth
Graph the line with the slope
Think about the structure and function of your backbone. Why do you think there are discs of cartilage between the bones in the vertebral column? A man was in a