Answer:

d=a2-a1

d=2-6

d=-4

Checking

6 -4= 2

2 -4= -2

-2 -4= -6

Answer:

an=a1+(n-1)d

an=?

a1=6

n=2

d=?

first we need to find the common difference

say the the 2nd term will be our an and n.

2=6+(2-1)d

2=6+(1)d

2=6+d

2-6=d

-4=d

d=-4

or simply to get the common difference just subtract the second term to the first term or the third to second or fourth to third and so on an so forth.

2-6=-4

-2-2=-4

-6-(-2)=-4

So we have now the common difference. we need to find the nth term, say the fifth term

a5=6+(5-1)-4

a5=6+(4)-4

a5=6-16

a5=-10

say the nth term is the sixth

a6=6+(6-1)-4

a6=6+(5)-4

a6=6-20

a6=-14

and so on