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SSAT Upper Level Math : How to find the next term in an arithmetic sequence

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Example Questions

Example Question #31 : Arithmetic Sequences

Find the next term in the following arithmetic sequence:

$\displaystyle 13, 10, 7, ?$

Possible Answers:

$\displaystyle 3$

$\displaystyle 5$

$\displaystyle 4$

$\displaystyle 2$

Correct answer:

$\displaystyle 4$

Explanation:

The sequence is subtracting $\displaystyle 3$ for each term. The next term can be found by subtracting $\displaystyle 3$ from $\displaystyle 7$ :

7-3=4 $\displaystyle 7-3=4$

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Example Question #32 : Arithmetic Sequences

Find the next number in this arithmetic sequence:

$\displaystyle -10, -20, -30, ?$

Possible Answers:

$\displaystyle -40$

$\displaystyle 35$

$\displaystyle 40$

$\displaystyle -35$

Correct answer:

$\displaystyle -40$

Explanation:

The common difference for this arithmetic sequence is $\displaystyle -10$ . Take away $\displaystyle 10$ from $\displaystyle -30$ to get the next term.

$\displaystyle -30-10=-40$

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Example Question #33 : Arithmetic Sequences

Find the next term in this arithmetic sequence:

$\displaystyle 16, 13, 10, ?$

Possible Answers:

$\displaystyle 7$

$\displaystyle 8$

$\displaystyle 13$

$\displaystyle 9$

Correct answer:

$\displaystyle 7$

Explanation:

The common difference for this sequence is $\displaystyle -3$ . Subtract $\displaystyle 3$ from the last given term to find the next term.

10-3=7 $\displaystyle 10-3=7$

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SSAT Upper Level Math : How to find the next term in an arithmetic sequence

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #31 : Arithmetic Sequences

Example Question #32 : Arithmetic Sequences

Example Question #33 : Arithmetic Sequences

All SSAT Upper Level Math Resources

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