Respuesta :

The common difference is -6.

Because,
14 - 6 = 8
 8 - 6 = 2
 2 - 6 = -4
 -4 - 6 =-10

Answer: The common difference= -6


Step-by-step explanation:

Here in the given sequence the first term=[tex]a_1=14[/tex]

The second term=[tex]a_2=8[/tex]

The third term=[tex]a_3=2[/tex]

The fourth term=[tex]a_4=-4[/tex]

The fifth term=[tex]a_5=-10[/tex]

The difference between the consecutive terms=[tex]d=a_2-a_1=8-14=-6[/tex]

[tex]d=a_3-a_2=2-8=-6[/tex]

[tex]d=a_4-a_3=-4-6=-6[/tex]

[tex]d=a_5-a_4=-10-(-4)=-6[/tex]

hence the common difference= -6

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