Answer:
The correct option is B.
Step-by-step 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=7-8=-1[/tex]
The nth term of an arithmetic sequence is
[tex]a_n=a+(n-1)(d)[/tex]
Substitute a=8 and d=-1 in the above equation.
[tex]a_n=8+(n-1)(-1)[/tex]
[tex]a_n=8-n+1[/tex]
[tex]a_n=9-n[/tex]
The explicit formula for this sequence is [tex]a_n=9-n[/tex]. It means the pattern in the sequence is "Multiply the term number by –1, then add 9".
Therefore the correct option is B.
