# 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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