Question

Please help, thanks.

Answer 1

-109

Explanation:

As x changes from 1 to 2, 2 to 3, and 3 to 4, each change in x is 1. The corresponding changes in y from 19 to 15, from 15 to 11, and from 11 to 7, are each a change of -4 in y. For each change of 1 in x, the corresponding change in y is -4. From 4 to 33 in x, the change is 33 - 4 = 29. The corresponding change in y is 29 * (-4) = -116.

7 + (-116) = -109

Answer 2

-109

Explanation:

Arithmetic sequence formula:

an = a1 + d(n - 1) where d = -4 and a1 = 19

so

a(33) = 19 - 4(33-1)

a(33) = 19 - 4(32)

a(33) = 19 - 128

a(33) = -109

The missing term : -109