Mathematics

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.
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

2 Answer

  • The answer is c add 8 to the term number...
  • 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.

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