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Determine whether each sequence is an arithmetic sequence. Write yes or no. EXPLAIN

Determine whether each sequence is an arithmetic sequence. Write yes or no. EXPLAIN-example-1
User Alize
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1 Answer

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The answer is: No; no common difference

Here's how to determine if the sequence is an arithmetic sequence and identify the common difference:

Check for a constant difference:

Calculate the difference between subsequent terms:

-1.1 - 2.2 = -3.3

0.1 - (-1.1) = 1.2

1.3 - 0.1 = 1.2

If the difference between any two consecutive terms is constant, the sequence is arithmetic.

Identify the common difference:

If the sequence is arithmetic, the constant difference observed in step 1 is the common difference (d).

In this case:

The difference between 2.2 and -1.1 is -3.3.

The difference between -1.1 and 0.1 is 1.2.

The difference between 0.1 and 1.3 is 1.2.

Since the differences are not constant, the sequence is not arithmetic. Therefore, the answer is: No; no common difference

User Tom Gringauz
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