Use summation notation to write each series. (1)/(3(1))+(1)/(3(2))+(1)/(3(3))+⋯+(1)/(3(9))

Name: Problem 85, Chapter 11: Precalculus
Uploaded: 2021-06-29T14:25:27-08:00
Duration: 2 min 53 s
Channel: Chris Wojturski
Description: Use summation notation to write each series. (1)/(3(1))+(1)/(3(2))+(1)/(3(3))+⋯+(1)/(3(9))

step 1 All right, here we have a series in expanded form, and we want to put it back into summation not

Use summation notation to write each series....

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Key Concepts

Summation Notation

Summation notation is a method for representing the sum of a series of terms compactly using the Greek letter sigma (?), where the index of summation and its bounds specify the range over which the sum is taken.

Series Representation

A series is the sum of the terms of a sequence. By identifying a general formula for the terms, you can express the series using summation notation, which provides a clear and concise way to represent all of its terms.

Indexing and Bounds

Indexing refers to using a variable (often n or i) to denote the position of each term in the sequence, while bounds specify the starting and ending values of this variable. Correctly setting these bounds ensures that every term in the series is included in the summation.

General Term Identification

Determining the general term involves recognizing a pattern in the series and expressing each term as a function of the index. This function is then used within the summation notation to represent the entire series.

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