AmberBeckford AmberBeckford
  • 04-05-2018
  • Mathematics
contestada

What is the sum of a geometric sequence 1, 3, 9, ... if there are 12 terms?

A. 292,524


B. 265,720


C. 139,968


D. 104,976

What is the sum of a geometric sequence 1 3 9 if there are 12 terms A 292524B 265720C 139968D 104976 class=

Respuesta :

calculista
calculista calculista
  • 15-05-2018
we know that
a1=1
a2=3
a3=9
a2/a1=3/1----> 3
a3/a2=9/3----> 3
common ration r is equal to 3
number of terms n  is 12

The 
Sum of geometric series is given by the formula
Sum=a1*[1-r^n]/[1-r]
Sum=1*[1-3^12]/[1-3]-----> Sum=[1-3^12]/[1-3]----> [3^12-1]/[3-1]
Sum=531440/2-----> 265720

the answer is
265720




Answer Link

Otras preguntas

You just invested $1000 in an account that returns 5% per year. After 50 years, when you are old and gray, what will be the value of your investment?
what is the book wonder bout
I need help with this
What is the initiating event in this story from Aesop's Fables? The Old Woman and the Doctor An Old Woman became almost totally blind from a disease of the eyes
What does Montesquieu say men with power will usually do with it
“This land [of South America] is very pleasing, full of an infinite number of very tall trees which never lose their leaves and throughout the year are fragra
Why is telophase more vulnerable? ​
What is a chromosome
The market system depends on both among buyers and among sellers.
what was the entry port for Asian immigration in the 1800s. PLEASE HELP, MY PSYCHOTIC GRANDMA WON'T STOP UNTIL I GET IT RIGHT!