SAT Math : Arithmetic Sequences

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #4 : How To Find The Next Term In An Arithmetic Sequence

An arithmetic sequence begins as follows:

Give the sixth term of the sequence in decimal form.

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 :

The decimal equivalent of this can be found by dividing 13 by 15 as follows:

Division

The correct choice is .

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 #41 : Sequences

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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