For Exercises 1 − 5 , choose the correct letter 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 explicit formula represents the number of points as an arithmetic sequence? A. A ( n ) = 12 + 6 n C. A ( n ) = 12 + ( n − 1 ) ( 6 ) B. A ( n ) = 12 − ( n − 1 ) ( 6 ) D. A ( n ) = 12 + ( n − 6 )
For Exercises 1 − 5 , choose the correct letter 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 explicit formula represents the number of points as an arithmetic sequence? A. A ( n ) = 12 + 6 n C. A ( n ) = 12 + ( n − 1 ) ( 6 ) B. A ( n ) = 12 − ( n − 1 ) ( 6 ) D. A ( n ) = 12 + ( n − 6 )
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 explicit formula represents the number of points as an arithmetic sequence?
A.
A
(
n
)
=
12
+
6
n
C.
A
(
n
)
=
12
+
(
n
−
1
)
(
6
)
B.
A
(
n
)
=
12
−
(
n
−
1
)
(
6
)
D.
A
(
n
)
=
12
+
(
n
−
6
)
Expert Solution & Answer
To determine
To find: Explicit formula for Arithmetic Sequence
Answer to Problem 5STP
• an=12+(n−1)(6)
Explanation of Solution
Given Data:
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.
Calculation:
The series is in Arithmatic ProgressionThus, the sequence is given by:an=a+(n−1)dNow,a=12d=6Therefore the sequence is given by:an=12+(n−1)6
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