SAT Math : nth Term of an Arithmetic Sequence

Study concepts, example questions & explanations for SAT Math

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Example Questions

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Example Question #1 : How To Find The Next Term In An Arithmetic Sequence

An arithmetic sequence begins as follows:

Give the sixth term of the sequence.

Possible Answers:

Correct answer:

Explanation:

The common difference  of an arithmetic sequence can be found by subtracting the first term from the second:

Setting :

The th term  of an arithmetic sequence can be derived using the formula

Setting 

Example Question #21 : Nth Term Of An Arithmetic Sequence

Complete the sequence:

Possible Answers:

Correct answer:

Explanation:

The pattern of this sequence is  where  represents the place of each number in the order of the sequence. 

Here are our givens:

, our first term.

, our second term.

, our third term.

This means that our fourth term will be:

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