tlperez1230
tlperez1230 tlperez1230
  • 01-04-2019
  • Mathematics
contestada

Two geometric means are inserted between 4 and 864 so the four numbers form a geometric sequence. What are these two numbers ?

Respuesta :

jcherry99
jcherry99 jcherry99
  • 04-04-2019

Answer:

24 and 144

Step-by-step explanation:

a = 4

t4 = 864

864 = 4*r^(4 - 1) divide by 4

216 = r^3            Take the cube root of 216

6 = r

Note you can find the cube root of any number by using your calculator.

  • 216
  • y^x or x^y or ^
  • 0.333333333333
  • =
  • 5.99999999 which rounded is 6

t2 = a * r^(2 - 1)

t2 = 4 * 6^1

t2 = 24

=================

t3 = a*r^(3 -1)

t3 = 4 * 6^2

t3 = 4 * 36

t3 = 144

Answer

24 and 144

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