what is the common difference in the sequence 25,20,15,10...?

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We have a arithmetic sequence: 25, 20, 15, 10...Tipically, arithmetic sequences can be written in recursive form as:[tex]a_n=a_{n-1}+d[/tex]where a(n) and a(n-1) are consecutive terms and d is the common difference.In this case, we can see that each term decreases by 5 units.Then, we can describe this sequence as:[tex]a_n=a_{n-1}-5[/tex]which means that d = -5.Answer: the common difference is d = -5.