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

What number (X) comes next in the series (17, 9, 18, 7, 19, 5, 20, X) 3 4 16 21 23
Which statement describes the solar feature labeled B?
How did john winthrop change the government of massachusetts quizlet.
Please help me!!! I don't know! txcfygvubhjnlkm
please help, I'm giving brainliest. Explain the term'wear acid'.​
I need the green box with question mark I can’t get the second part
Willa cather's decision to write "a wagner matinee" from clark's point of view means that readers __________. question 4 options: are not likely to be intereste
does advanced auto parts install engine air filter
System of Equations- pls help with the following problem Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step). a)
Darron wants to send a package to his mother for her birthday. At Box-r-us, they have boxes that come in three different lengths, four different widths and five