The sixth term of an arithmetic sequence is 3 2 , and the twelfth term is 5 2 . What is the common difference of the arithmetic sequence? The common difference is .

Let "an" denote the n-th term in the sequence. For an arithmetic sequence, there is a constant number added to successive terms:

a7=a6+d

a8=a7+d=a6+2d

a9=a8+d=a6+3d

...

a12=a11+d=a6+6d

We know  a6=3/2 and a12=5/2, so we get

5/2=3/2+6d  6d=1   d=1/6

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right