1. Each time a touchdown is scored in a football game, 6 points are added to the score of the scoring team. A team already has 12 points. What rule represents the number of points as an arithmetic sequence when n is the number of touchdowns scored?

Question

A(n) = 12 + 6n
A(n)12 - (n - 1)(6)
A(n) = 12 + (n - 1)(6)
A(n) = 12 + (n - 6)

2. What is the ninth term of the arithmetic sequence defined by the rule A(n) = -14 + (n - 1)(2)?

232
230
2
4

Please explain how to do these! I don't understand them!

Answer 1

are the answers:

1. A(n) = 12 + (n - 1)(6)
2. 2

Answer 2

1. assuming the 12 points were scored by 2 touchdowns, (could have been 4 fieldgoals)
and n is the total number of touchdowns scored, it would be
A(n) = 12 + 6(n-2) , .... two have already been counted

if n is the number of touchdowns after the initial 12 points, it would be
A(n) = 12 + 6n

poorly worded question.

2.
A(n) = -14 + (n-1)(2)
so a = -14 and d = 2

term(9) = a+8d
= -14 + 8(2) = 2

Answer 3

42

Answer 4

Use the following information.

SPORTS In a football game, each team earns 6 points for each touchdown it scores.




Write an equation to find y, the total number of points for scoring x touchdowns.

Answer 5

Use symbols to describe the value of each term as a function of its position. Then find the twelfth term in each sequence.