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Chapter 11: Q 125. (page 1069)

In your own words, explain how to find the general term of an arithmetic sequence.

Short Answer

Expert verified

By using the first term and the common difference can find the general term.

Step by step solution

01

Step 1. Introduction.

To find a general term, we need the first term of sequence and the common difference of consecutive terms. After finding the general form of the sequence, we can find any term of sequence directly.

02

Step 2. Explanation.

Consider the nth term formula of arithmetic sequence:

an=a1+n-1d

Here, a1 is the first term and d is a common difference.

After substituting both values, we get the general term of the sequence.

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