SAT Math : How to find the answer to an arithmetic sequence

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #11 : Arithmetic Sequences

An arithmetic sequence begins as follows: 

Give the thirteenth term of the sequence as a fraction in lowest terms.

Possible Answers:

Correct answer:

Explanation:

Subtract the first term  from the second term  to get the common difference :

Setting  and ,

The th term of an arithmetic sequence  can be found by way of the formula

Setting , and  in the formula:

As a fraction, this is 

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