omargomez8948 omargomez8948
  • 23-05-2020
  • Mathematics
contestada

Determine the common ratio and find the next four terms of the geometric sequence. a^-6, a^-2, a^2

Respuesta :

TheLazyNobita
TheLazyNobita TheLazyNobita
  • 23-05-2020

Answer:

[tex]a = a^{-6} \\ a_1 = a^{-2 }\\ a_3 = a^2[/tex]

Common ratio(r) = [tex]\displaystyle\frac{a_2}{a_1}[/tex]

[tex]r = \displaystyle\frac{a^{-2}}{a^{-6}}[/tex]

[tex]r = a^4[/tex]

Next 4 terms :

[tex]a_4 = ar^3 = a^{-6 }× a^12 = a^6[/tex]

[tex]a_5 = ar^4 = a^{-6} × a^16 = a^10[/tex]

[tex]a_6 = ar^5 = a^{-6} × a^20 = a^14[/tex]

[tex]a_7 = ar^6 = a^{-6} × a^24 = a^18[/tex]

Answer Link

Otras preguntas

What is the greatest common factor of 24a^{3}c and 3a?
SOMEBODY HELP ME PLEASE!!!
What is the best approximation for the area of this circle? Use 3.14 to approximate pi. A. 12.6 m² B. 25.1 m² C. 50.2 m² D. 158.0 m² AND SHOW WORK
A form used to chart transactions on an account assigned to a person or guestroom is called what
Hendrick wants to enlarge a photo that is 4 inches wide and 6 inches tall. The enlarged photo keeps the same ratio.How tall is the enlarged photo if it is12 inc
Occurs when either the heart stops beating or the heart's lower chambers
I'm so glad the air conditioner broke on a day where the temperature only hit 100 degrees. What is the verbal irony in this statement? Who wouldn't be glad to
PLEASE I NEED HELP ASAP {WILL REWARD BRAINLIST} The function f(x) = 2x is translated left 3 units and down 2 units. Which is the equation of the translated func
True or false: a homogeneous system must have a pure substance
Which organs are fully functional before the third trimester?