jillianmgarnett jillianmgarnett
  • 18-06-2016
  • Mathematics
contestada

Determine whether the sequence converges or diverges. If it converges, give the limit. 108, -54, 27, -27/2

Respuesta :

caylus
caylus caylus
  • 18-06-2016
Hello,

a(1)=108
a(2)=a(1)/(-2)=-54
a(3)=a(2)/(-2)=a(1)/(-2)²=27
a(4)=a(3)/(-2)=a(1)/((-2)^3)=-27/2


a(n)=a(1)/(-2)^(n-1)=108 *(-1/2)^(n-1) (exponential decreasing)

lim if x->infinite (a(n))=0==> converges
Answer Link

Otras preguntas

what force is required to accelerate a body with a mass of 15kilograms at a rate of
step by step how to solve -2.3x=.46
half the sum of x and y decreased by one-third y
When unions were first organized, union leaders did what?
What are all the digits of pie?
Some historians argue that the French Revolution was more liberating than the American Revolution. What might be the basis for this argument? More people died i
what is the answer to 2x+4-3x=0
An underground mine elevator descends 12% of the total depth every minute. The total depth of the elevator is 75 meters below the ground. How many meters below
what is relationship between the 3s in the number 9338
9x+14=2x+35 what is the answer to this I do not get it