What is the pattern in the sequence graphed below? A. Multiply the term number by –1, then add 8. B. Multiply the term number by –1, then add 9. C. Add 8 to the
Mathematics
alexwing285
Question
What is the pattern in the sequence graphed below?
A. Multiply the term number by –1, then add 8.
B. Multiply the term number by –1, then add 9.
C. Add 8 to the term number, then multiply by –1.
D. Add 9 to the term number, then multiply by –1.
A. Multiply the term number by –1, then add 8.
B. Multiply the term number by –1, then add 9.
C. Add 8 to the term number, then multiply by –1.
D. Add 9 to the term number, then multiply by –1.
2 Answer

1. User Answers kadedravan
The answer is c add 8 to the term number... 
2. User Answers erinna
Answer:
The correct option is B.
Stepbystep explanation:
From the given graph it is clear that the sequence is in the form of
8, 7, 6, 5, 4, 3, 2, 1, 0
It is an AP because any two consecutive terms have same difference.
The first term of the sequence is a=8 and the common difference is
[tex]d=78=1[/tex]
The nth term of an arithmetic sequence is
[tex]a_n=a+(n1)(d)[/tex]
Substitute a=8 and d=1 in the above equation.
[tex]a_n=8+(n1)(1)[/tex]
[tex]a_n=8n+1[/tex]
[tex]a_n=9n[/tex]
The explicit formula for this sequence is [tex]a_n=9n[/tex]. It means the pattern in the sequence is "Multiply the term number by –1, then add 9".
Therefore the correct option is B.