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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 a12 anan1 9 What is an explicit rule for this sequence class=

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Answer:

[tex]a_n = -9n +7 \,,\,\,\,n\geq1[/tex]

Step-by-step explanation:

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

[tex]a_n = -2 - 9(n-1)= -2 -9n +9 = -9n +7 \,,\,\,\,n\geq1[/tex]

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