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

diary entry about a promise i broke​
Carboxylic acids boil at considerably higher temperatures than do alcohols, ketones, or aldehydes of similar molecular weights. This is because they?
Sympathetic stimulation results in what effects in the kidney?
What will happen if an animal raised in an axenic environment is exposed to a pathogenic microbe later in life?
Find x(will give brainlest)
write the following numbers in p by q form 2.015151515...​
If Jamaal has 13 nickels and dimes in his pocket, and they have a combined value of 110 cents, how many of each coin does he have? dimes nickels 0/4 pts 3 19 0
Antonio Machado nació en Sevilla, España en 1857 y es uno de los poetas más leídos todavía. Fue profesor de francés y se casó con Leonor Izquierdo en 1909. Ell
A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 16 mm halfway across a hori
When did global population start to increase steeply?​