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

A vertically hung spring has a spring constant of 150. newtons per meter. A 2.00-kilogram mass is suspended from the spring and allowed to come to rest. Calcula
A sedimentary rock formed through evaporation is _____. A. clastic B. organic C. chemical D. fragmental
As a car approaches a pedestrian crossing the road, the driver blows the horn. Compared to the sound wave emitted by the horn, the sound wave detected by the pe
Simplify.[2 × (10 + 5)] - 5 A. 12.5 B. 20 C. 25 D. 120 Compare. Use >, B. = C.
What's a conjunctive verb
What are some facts about webmasters?
As a result of the way the media cover candidates for public office, for which candidate do most Americans vote? . A. the person with whom they are most familia
List the four components of natural gas in order of increasing strength of intermolecular forces.
What is the power output of an electric motor that lifts a 2.0-kilogram block 15 meters vertically in 6.0 seconds? (1) 5.0 J (3) 49 J (2) 5.0 W (4) 49 W
what is the total number of moles of sulfur atoms in 1 mole of Fe2(SO4)3