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Posted by **Francesca** on Tuesday, March 29, 2011 at 12:09pm.

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 -
**MathMate**, Tuesday, March 29, 2011 at 12:27pmCorrect!

Or in modular arithmetic:

116-(-480) mod 7 = 1 ≠0

- Discrete Math -
**Francesca**, Tuesday, March 29, 2011 at 12:38pmOK thank you!

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