15 points ! complete the table and pattern. determine the common difference. write the explicit rule.

9.

n   |    1     |   2    |   3   |   4   |   5    |   6   |

f(n)| -252 |-243 | -234|-225| -216 | -207 |

First term: -252      Common Difference: 9

Explicit Rule:         Recursive Rule:

10.

n   |    1     |   2    |   3   |   4   |   5    |   6   |

f(n)|   72   |  63   |  54  |  45  |  36  |  27  |

First term: 72      Common Difference: -9

Explicit Rule:         Recursive Rule:

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

okay wait before i answer, is this for your points on a graph?