Algebra 1 : How to find the next term in an arithmetic sequence

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #11 : How To Find The Next Term In An Arithmetic Sequence

Find the next term in the following arithmetic sequence:

Possible Answers:

Correct answer:

Explanation:

First, find the common difference for the sequence. Subtract the first term from the second term.

Subtract the second term from the third term.

To find the next value, add  to the last given number.

Example Question #12 : How To Find The Next Term In An Arithmetic Sequence

Find the next term in the following arithmetic sequence:

Possible Answers:

Correct answer:

Explanation:

First, find the common difference for the sequence. Subtract the first term from the second term.

Subtract the second term from the third term.

To find the next value, add  to the last given number.

Example Question #13 : How To Find The Next Term In An Arithmetic Sequence

Find the next term in the arithmetic sequence:

Possible Answers:

Correct answer:

Explanation:

First, find the common difference for the sequence. Subtract the first term from the second term.

Subtract the second term from the third term.

To find the next value, add  to the last given number.

Example Question #14 : How To Find The Next Term In An Arithmetic Sequence

Find the next term in the given arithmetic sequence:

Possible Answers:

Correct answer:

Explanation:

First, find the common difference for the sequence. Subtract the first term from the second term.

Subtract the second term from the third term.

To find the next value, add  to the last given number.

Example Question #15 : How To Find The Next Term In An Arithmetic Sequence

Find the next term in the following arithmetic sequence:

Possible Answers:

Correct answer:

Explanation:

First, find the common difference for the sequence. Subtract the first term from the second term.

Subtract the second term from the third term.

To find the next value, add  to the last given number.

Example Question #16 : How To Find The Next Term In An Arithmetic Sequence

Find the next term in the arithmetic sequence:  

Possible Answers:

Correct answer:

Explanation:

The terms are in decreasing order, and to determine how much each number is decreasing by, we will subtract first term with the second term and the second term with the third term.

Subtract the first and second term.

Subtract the second and the third term.

Notice that each term is subtracted by five.

Subtract the third term by five to get the next term.

The answer is .

Example Question #12 : How To Find The Next Term In An Arithmetic Sequence

Find the next term in the following sequence.

Possible Answers:

None of the other answers.

Correct answer:

Explanation:

The two things we need to find out are HOW the sequence changes (adddition, subtraction, multiplication, division, etc.) and by WHAT factor.

Start by finding the difference between the first two terms.

Now let's find the difference between the 2nd and 3rd given term.

Based on these two points, we can infer that this sequence changes by adding 13 to the previous term. Therefore...

the next term in the sequence is 22.

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