Complete the table and pattern. determine the common difference. write the explicit rule.

6.

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

f(n)|  529 | 508 | 487 | 466 | 445 | 424 |

First term: 529      Common Difference: -21

Explicit Rule:       Recursive Rule:

7.

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

f(n)|  7.5   |   9    |10.5 |  12  |  13.5 |   15   |

First term: 7.5      Common Difference: 1.5

Explicit Rule:       Recursive Rule:

8.

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

f(n)|  95  | 120  | 145 |  170 | 195 | 220 |

First term: 95      Common Difference: 25

Explicit Rule:       Recursive Rule:

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.