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A recursive rule for an arithmetic sequence is a1=-2; an=an-1 -9

What is an explicit rule for this sequence?

A recursive rule for an arithmetic sequence is a1=-2; an=an-1 -9 What is an explicit-example-1
User Baerkins
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Answer:


a_n = -9n +7 \,,\,\,\,n\geq1

Explanation:

This is an arithmetic sequence with a common difference of -9. We use this fact to create an explicit rule:


a_n = -2 - 9(n-1)= -2 -9n +9 = -9n +7 \,,\,\,\,n\geq1

User Erdekhayser
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