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

Amphibians can breathe through their skin. True False
In their theories about government, Locke and Hobbes agreed that __________. a. citizens are not required to give up any individual rights c. citizens and their
Explain why an addition problem that has a 4-digit addends could have a 5 digit sum.
Under the constitution the principle of federalism is the reason that power and responsibility are
America changes through times of conflict, growth, or peace and cooperation?
Who is W. E. B. Du Bois?
A criticism of the American system of federalism is that it is
What important decisions had to be made concerning the fate of the seceded states and the rights of those freed from slavery?
In the Southern subregion of sub-Saharan Africa, which country is mainly covered by the Kalahari Desert?
A criticism of the American system of federalism is that it is