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

Why did Leif Eriksson become an explorer and adventurer?
how many egg chromosome number do human, cat, onions, rye, guinea pig, and chiken have??
Why did Leif Eriksson become an explorer and adventurer?
Which of the following statements about eutrophication is NOT true? (A) It is caused by acid rain. (B) It is caused by the addition of nutrients to a water syst
An advertisement for a new model of luxury sedan would target ________??1.new drivers2.families 3 businesses 4.professional  adults
Round the following numbers to 2 decimal places 0.2731.5956.4732.5710.42544.556482.3643325.1741
Why does a pregnant woman need more energy than a woman who isn't pregnant
{–½, 2} {–½, –2} {½, 2} {½, –2} Use the quadratic formula to solve 2y2 – 5y  = –2.
what transfer nutrients into the blood stream and body.
Create a newspaper article about visiting the great exhibition, London.Could anyone please give me some points that I could include.Thank you