# Which number comes next in this series {eq}2, 5, 14, 41, 122,... ? {/eq}

## Question:

Which number comes next in this series {eq}2, 5, 14, 41, 122,... ? {/eq}

## Series of Numbers

Some series are easily defined by common differences or common ratios. Other series may require some analysis so as to get a model for the {eq}n^{th} {/eq} term. For these kinds of series, there is no definite way in determining the model other than analyzing the terms given in the series.

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We are given the series {eq}2,5, 14, 41, 122... {/eq} and we are asked to determine what value comes next in the series. First we will determine the... How to Calculate an Arithmetic Series

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Chapter 12 / Lesson 5
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An arithmetic series is the sum of the individual numbers contained in an arithmetic sequence. Learn the differences between arithmetic series and arithmetic sequence and discover how the formula for arithmetic series can be applied to real-life scenarios in the Michigan Stadium Solution.