Discrete Math

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I want to verify that this is correct:

An arithmetic sequence begins, 116, 109, 102

• Determine whether -480 belongs to this sequence, if it does, what is its term number?

-480 = 116 + (n - 1)(-7)
n - 1 = 85.142. . .
So, that means -480 does not belong to this sequence, right? Thank you for any helpful replies!

  • Discrete Math -

    Correct!
    Or in modular arithmetic:
    116-(-480) mod 7 = 1 ≠0

  • Discrete Math -

    OK thank you!

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