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In this lesson, we will learn how to find the arithmetic means for any two nonconsecutive terms in an arithmetic sequence.

Q1:

Find the last arithmetic mean when 27 means are inserted between − 8 6 and − 5 8 .

Q2:

Find the two numbers whose arithmetic mean is 77, and the difference between them is 64.

Q3:

Find, in terms of 𝑥 , the arithmetic mean of the two numbers 8 𝑥 + 8 and 6 𝑥 + 2 2 .

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