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

Describe the pain associated with leukemia and explain the reason for it.
Solve for x in the equation x^2+20x+100=36 a).x = –16 or x = –4 b).x = –10 c).x = –8 d).x = 4 or x = 16
A____ should follow a dependent clause when the dependent clause comes First in a sentence​
Explain the significance of blast cells in the peripheral blood.
Find the value of x (really need help with this)
what is the configuration of NE
2. Name the main technology used to connect computers to devices A. USB B. Firewire C. Wifi D. Ethernet
35. The controlled Central Asia from 1917 to 1991. Europeans O Soviets O Mongols O Arabs
What are the three types of cellular transport used in gas exchange?
How many moles of mgci2 are there in 318 g of the compound?