da6iLolaziZih da6iLolaziZih
  • 25-11-2016
  • Mathematics
contestada

Which represents the sum of the geometric series: 6 + 12 + 24 + 48 + … + 12,288?
12,372

13,818

18,426

24,570

Respuesta :

Аноним Аноним
  • 25-11-2016
it multiplies by 2 . 6 times 2 12, 12 times 2 24. please mark as branliest
Answer Link
MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 27-11-2016

First, we need to solve for the common ratio from the data given by using the equation.

a(n) = a(1) r^(n-1)
12 = 6 r^(2-1)
r = 2

12288 = (6) 8^(n-1)

2048 = 8^(n-1)

 n = 11


Then, we can find the sum by:

Sum of terms inside the brackets is 4095, i.e. 2^12 - 1. 
So the required sum = 6 x 4095 
= 24,570

Answer Link

Otras preguntas

Please help asap I will mark brainliest
c What is the difference between sorting and filtering activities in Excel 2016​
The figure below shows two identical small, charged spheres. One of mass 3.7 g is hanging by an insulating thread of length 20.0 cm. The other is held in place
Help??????????????????????????
1. What is the name of this compound? H2O 2. What is the name of this compound? SO3 3. What is the name of this compound? PF5 4. What is the name of this compou
Explain how work force and work place are changing.what do these changes suggest for u as a future employee
35 POINTS !!!!!!! PLEASE HELP VERY SOON I NEED HELP NOW
What is the value of y?
improvisation this practice focuses on sensing a partner while having a body dialogue
Good day, please could you help me solve this? ​