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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 Sequence12 5 2 9 An 0for N 2 class=

Sagot :

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:

[tex]a_n=a_1+(n-1)d[/tex]

Where d is the common difference between the terms.

So we have:

[tex]a_n=12+(n-1)\times-7=-7n+19[/tex]

Then the correct answer is the recursive formula:

[tex]a_1=12[/tex]

[tex]a_n=a(n-1)-7[/tex]

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