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Write an explicit rule for the following arithmetic sequence: 28, 38, 48, 58,

User LeJared
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When you have an arithmetic sequence you can use the next general formula to get the explicit formula:


a(n)=a(1)+d(n-1)

Where a(1) is the first term in the sequence, d is the difference between each term in the sequence, and n is the nth term

You have the sequence: 28,38,48,58

The difference in this sequence is d=10

The first term is: a(1)=28

Then:


a(n)=28+10(n-1)
a(n)=28+10n-10
a(n)=18+10nThen, the explicit rule for the given arithmetic sequence is: a(n)=18+10n
User NawaMan
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