Inesh1aNicollz Inesh1aNicollz
  • 10-05-2017
  • Mathematics
contestada

Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27. 20 19.5 18 17

Respuesta :

mreijepatmat
mreijepatmat mreijepatmat
  • 14-05-2017
a₆ =12

a₇ = ?? = x

a₈ 27

In this case x is the geometric mean & as per the formula
geometric mean of 2 numbers =√(a₆ * a₈) = √(12*27)
& x=18.
Proof:
Find the common ratio between a₇ & a₆ ==> = ( x) / 12
now find the common ration between a₈ & a₇ ===> =27 / (x)
x/12 = 27/x ===> x² = 12*27 ==> x² = 324 & x =√324 = 18
Answer Link

Otras preguntas

umm i have a question using a complete sentence describe the four steps of the naturalization progress in the united states
F D 80° E B 160 G NOTE: Angles not necessarily drawn to scale. 2= PLEASE HELPPP!!!
As of December 31, 2019, Armani Company’s financial records show the following items and amounts. Cash $ 10,300 Accounts receivable 9,300 Supplies 6,300 Equipme
A chemist uses a standard solution of 0.210 M lithium hydroxide (LiOH) to titrate 28.10 mL of sulfurous acid acid (H2SO3), she finds that it requires 22.14 mL o
What is an exchange ratio?
Which story premise is most clearly a classic tragedy?
What is the decimal equivalent of the fraction 8/10
ASAP ! I WILL GIVE BRAINLIEST! Pls simplify this fraction on the attached picture thank you!!! I
Fill In the blank with the correct word. Pl let you know.... we arrive O until O whe O So O whereas
Mikayla wants to create a slide with a photograph of a car and the car horn sounding when a user clicks on the car. Which feature should she use, and why? a. Sh