Write the explicit rule for the nth term. Then find the 112th term. {15, 5, -5, -15…}

Question

Write the explicit
rule for the nth term.
Then find the 112th term.
{15, 5, -5, -15…}

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bonexptip 4 years 2021-08-02T07:43:22+00:00 2 Answers 20 views 0

Answers ( )

    0
    2021-08-02T07:44:36+00:00

    Answer:

    Step-by-step explanation:

    { 15, 5, -5, -15…}

    the rule is

    a_{1} = 15, a_{n} = a_{n-1} -10

    the 112th term

    a_{112} = a_{1} + (n-1) *d\\\\a_{112} = 15 + (112 -1) * (-10)\\\\a_{112} = 15 - 1110\\\\a_{112} = -1095

    0
    2021-08-02T07:45:15+00:00

    Answer:

    I believe the answer is 121.

    Step-by-step explanation:

    Formula: (a)n = a + (n – 1)d

    (a)n = nth Term of the Sequence

    a = First Term in the Sequence

    d = Common Difference

    112th = 15 + (112 – 1)-5

    112th = 15 + 111 – 5

    112th = 121

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