Please help me with my math homework. I don’t understand it

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Me too there's no math problem...

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1. How can an expression or process be determined for an arithmetic sequence?

The process is an arithmetic sequence when the difference between the first and second terms is equal to the difference between the second and third terms and so on. 

(a2 - a1) = (a3 - a2) = (a4 - a3)