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Write a recursive formula for the following arithmetic sequence.12, 5, -2, -9, ...an= 0=for n ≥ 2

Write a recursive formula for the following arithmetic sequence.12, 5, -2, -9, ...an-example-1
User McClamrock
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1 Answer

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We have the arithmetic sequence:

12, 5, -2, -9, ...

We first need to know which is the common difference between the terms, clearly, it is -7.

Now we just need to use the formula below:


a_n=a_1+(n-1)d

Where d is the common difference between the terms.

So we have:


a_n=12+(n-1)*-7=-7n+19

Then the correct answer is the recursive formula:


a_1=12


a_n=a(n-1)-7

User Jmarceli
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