basketking333
basketking333 basketking333
  • 05-02-2019
  • Mathematics
contestada

Determine if the sequence is geometric. If it is, find the common ratio.
1) -2, 2/3, -2/9, 2/27
2) 0,2,5,9
3) 2, -10, 50, -250
4) 1,4,16,64

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 05-02-2019

Answer:

  1. -1/3
  2. not geometric
  3. -5
  4. 4

Step-by-step explanation:

You find the ratio of terms by dividing the second by the first. If the ratio is the same for all adjacent pairs of terms, it is a "common" ratio.

1) (2/3)/-2 = -1/3

  (-2/9)/(2/3) = -1/3

  (2/27)/(-2/9) = -1/3 . . . . . the common ratio is -1/3

___

2) 2/0 = undefined . . . . not a geometric sequence

___

3) -10/2 = -5

  50/-10 = -5

  -250/50 = -5 . . . . . the common ratio is -5

___

4) 4/1 = 4

  16/4 = 4

  64/16 = 4 . . . . . the common ratio is 4

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