yarenyg1543 yarenyg1543
  • 15-11-2018
  • Mathematics
contestada

find the commom ratio for the following sequence

1/2, -1/4, 1/8, -1/16

Respuesta :

saltywhitehorse saltywhitehorse
  • 31-12-2018

Answer:

Common ratio = -1\2

Step-by-step explanation:

Common ratio is referred to as the ratio by which the sequence is attaining its next value.

In a sequence say,   a_1,a_2,a_3...a_n the common ratio is calculated by :

[tex]\frac{a_2}{a_1} , \frac{a_3}{a_2}[/tex]

In The sequence given here : a_1 =1, a_2= -1\4 , a_3 = 1\8 , a_4= -1\16

Common ratio (r) = [tex]\frac{\frac{-1}{4} }{\frac{1}{2} }  = \frac{-1}{2}[/tex]

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