a) The rule is <em><u>multiply the previous term by 6 then add 13</u></em>. So if the 1st term is n0 = -2, then the next term n1 is
n1 = 6n0 + 13
= 6(-2) + 13
= 1
n2 = 6n1 + 13
= 6(1) + 13
= 19
So the sequence goes like
-2, 1, 19
b) Now the sequence is reversed so let's write the terms as follows:
19, 1, -2
The new rule now is <em><u>subtract</u></em><em><u> </u></em><em><u>1</u></em><em><u>3</u></em><em><u> </u></em><em><u>then</u></em><em><u> </u></em><em><u>divide</u></em><em><u> </u></em><em><u>by</u></em><em><u> </u></em><em><u>6</u></em><em><u>.</u></em> You can check this as follows: