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29 December, 04:57

What is the explicit rule for the sequence? - 57,-49,-41,-33 ...

An=8n-49

An=8n-65

An=-8n-49

An=-8n-65

+1
Answers (1)
  1. 29 December, 08:30
    0
    From the sequence given:

    -57,-49,-41,-33 ...

    the common difference, d will be:

    -49 - (-57)

    =8

    This implies that the sequence is an arithmetic sequence. The explicit formula is given by:

    an=a+d (n-1)

    where:

    a=first term

    d=common difference

    n=nth term

    from the sequence:

    a=-57, d=8

    thus the explicit formula for the sequence will be:

    an=-57+8 (n-1)

    simplifying the above we get:

    an=-57+8n-8

    an=-65+8n

    The answer:

    An=8n-65
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