yurikun411
yurikun411 yurikun411
  • 04-03-2021
  • Mathematics
contestada

What is the sum of the geometric sequence 1, -6, 36, ... If there are 6 terms? (1 point)

Respuesta :

Muscardinus Muscardinus
  • 09-03-2021

Answer:

-6665

Step-by-step explanation:

The given GP is :

1, -6, 36, ...

Number of terms = 6

The sum of n terms of a GP is given by :

[tex]S_n=\dfrac{a(r^n-1)}{r-1}[/tex]

Here,

a = 1, n = 6, r = 36/-6 = -6

So,

[tex]S_6=\dfrac{1((-6)^6-1)}{(-6)-1}\\\\=-6665[/tex]

So, the sum of th GP is -6665.

Answer Link

Otras preguntas

A triangle has sides of length 4xy, 7, and2x. Which expression represents the distance around, or perimeter, of the triangle? O 6z+y+7 O 6x + 4y +7 O4zy + 2x +7
Question for Math! I have a 200-point math test coming up, and I don't get the concept of this question, but if somebody is willing to help me out on this quest
A student graphed distance versus time for an object that moves 14m every 2 s. the speed of the object is
Kara is running a marathon. After 2 hours, Kara has run 13 miles. After 4 hours, Kara has run 26 miles. What is her speed, in miles per hour?​
A student graphed distance versus time for an object that moves 14m every 2 s. the speed of the object is
1.08 to the 3rd power?
A triangle has sides of length 4xy, 7, and2x. Which expression represents the distance around, or perimeter, of the triangle? O 6z+y+7 O 6x + 4y +7 O4zy + 2x +7
The width, of a rectangle is 1/2 of its length. What are the sides of the rectangle if its perimeter is 63 in
1.07 x 104 -3.38 × 10³
Complete the sentence with a word that means the same as "rare"