Respuesta :
The common difference is -6.
Because,
14 - 6 = 8
8 - 6 = 2
2 - 6 = -4
-4 - 6 =-10
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