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

Write each decimals as a fractions or a mixed number. 26.3 and 7.104 >> help <
Shandra's cat is 23.4 cm tall and 38 cm long. Express these lenghts in metres and in millimetres. Someone help me , I really need it for tomorrow and please exp
2+3=8, 3+7=27, 4+5=32, 5+8=60, 6+7=72, 7+8=???????? SOLVE IT IF YOU CAN
What role should the government have in enforcing equal rights for Americans?
All living things are either Eukarya, Bacteria, or Archaea. These three broadest categories in the classification of life are called _______.
BY using eight eights  and addition only can you make 1000?????/
2+3=8, 3+7=27, 4+5=32, 5+8=60, 6+7=72, 7+8=???????? SOLVE IT IF YOU CAN
What kinds of activities made up the early economies of the North American colonies?
Who would have supported the two sides in the English Revolution?
A box if cereal has a volume of 384 cubic inches . If width of the box is 4 inches and the length is 8 inches , what is the height of the box?