Iamcassiefromskins
Iamcassiefromskins Iamcassiefromskins
  • 12-12-2018
  • Mathematics
contestada

What is the recursive rule for this geometric sequence? 2, 1/2, 1/8,  1/32,  

Enter your answers in the blanks.

an= _ ⋅an−1

a1=_

Respuesta :

gmany
gmany gmany
  • 18-12-2018

[tex]a_1=2,\ a_2=\dfrac{1}{2},\ a_3=\dfrac{1}{8};\ a_4=\dfrac{1}{32}\\\\r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...\\\\r=\dfrac{\frac{1}{2}}{2}=\dfrac{\frac{1}{8}}{\frac{1}{2}}=\dfrac{\frac{1}{32}}{\frac{1}{8}}=\dfrac{1}{4}\\\\\boxed{a_1=2;\qquad a_n=\dfrac{1}{4}\cdot a_{n-1}}[/tex]

Answer Link

Otras preguntas

Mark the statement correctly if it describes a cause of the Hundred Years' War. A. The English king made claims to the French throne. B. The French king made
A population of snails is experiencing disruptive selection in terms of their shell patterns. Which statement is most likely true about the population? Two diff
which of the following best states why reconstruction was considered by some people to be a failure
Which is true of the mexican revolution?
Please help! How Did the united states become stronger after it became independent?
The ratio of two numbers is 5 to 3. The sum of the numbers is 16. What are the numbers? 8 and 8 9 and 7 15 and 9 10 and 6
Read the following quote by Tecumseh: “These lands are ours. No one has a right to remove us, because we were the first owners. The great Spirit has appointed t
why did parliament believe the colonist would accept the tea act of 1773
with symbolism authors use concrete objects to represent what?
what are the solutions of the equations x^2+14x=-130? (1point) a.2,-16 b.10,-13 c.-2,16 d.no solution