michashanepgod michashanepgod
  • 01-04-2017
  • Mathematics
contestada

The 2nd term in a geometic sequence is 20. the fourth term in the same sequence is 45/4 or 11.25. what is the common ratio in this sequence?

Respuesta :

alihmatar
alihmatar alihmatar
  • 01-04-2017
Let x be the value of the third term.
Since it's a geometric sequence, then:
Third term/Second term = Fourth term/Third term
x/20 = 11.25/x
Cross multiplication:
x^2 = 225
x = 15
So since the ratio is constant, then it is
x/20 = 15/20 = 3/4
So the common ratio is 3/4 or 0.75.
Answer Link

Otras preguntas

The original Almohads and Almoravids were both a part of which group? a. Muslim reformers b. Bantu-speaking peoples c. Swahili peoples d. Arab peoples
Which of the following statements is true? A. 15 + 0 = 0 B. 15 – 0 = 0 C. 0 ÷ 15 = 0 D. 15 ÷ 0 = 0
I Am A Number That Is Double The Product Of 2 And 7. One Of My Factors Is 7 What Is My Other factor
is ammonia a homogeneous mixture?
what do you call the curved, upper surface of water that commonly appears when using a graduated cylinder?. Describe what causes this?.
Which shows the phrase the product of a number and 3 as a variable expression? A. n+3 B. n-3 C. 3n+3 D. 0.01d + 5( 0.10d)
"All integers are rational numbers" True or False
1) •There were 3,905 more hits on the schools website in January than February. •Feb. = 9854 hits. •How many hits to the schools website have during both month
Why is most of the mass of an atom is located in the nucleus?
Find 10.5 in plus 7.35 in and use the correct number of significant digits in the sum