ACT Math : nth Term of an Arithmetic Sequence

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #2 : How To Find The Next Term In An Arithmetic Sequence

What is the next term in the following sequence: ?

Possible Answers:

Correct answer:

Explanation:

This sequence is a little tricky. Notice that the second element is equal to the first. After that, the third is equal to the sum of the first two , next the fourth is equal to the sum of the second and the third , and the same continues for each element after this. Thus, the next element in the series will be equal to  or .

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

What is the next term in the sequence?

Possible Answers:

Correct answer:

Explanation:

The difference between each term is constant, thus the sequence is an arithmetic sequence.

Simply find the difference between each term, and add it to the last term to find the next term.

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