Respuesta :

altavistard
Note this pattern:  Mult. 24 by (-1/4) produces -6.
                              Mult -6 by (-1/4) produces 6/4 = 3/2
                             Mult. 3/2 by (-1/4) produces 3/8

Looks as though you copied the problem down incorrectly.  You wrote 32 for 3/2 and -38 for -3/8.

The common ratio is -1/4.

adioabiola

The common ratio, r of the geometric sequence

24,−6,32,−38,... is -1/4

How to find common ratio of a geometric sequence

  • First term, a = 24

  • Second term, = -6

nth term of a geometric sequence = ar^(n-1)

  • n = number of terms

Common ratio, r = second term ÷ first term

= -6/24

= -1/4

r = -38/32

= -18/16

= -9/8

It seems the third and fourth term, 32 and -38 do not correspond with the given ratio.

Learn more about geometric sequence:

https://brainly.com/question/9300199

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