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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 Paul Hiles
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Final answer:

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant.

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant.

To determine whether a sequence is arithmetic, we need to check if the difference between consecutive terms remains constant.

For example, consider the sequence 2, 4, 6, 8, 10.

The difference between consecutive terms is always 2, so this sequence is an arithmetic sequence.

On the other hand, consider the sequence 2, 4, 7, 11, 16.

The difference between consecutive terms is not constant. It changes from 2 to 3 to 4, so this sequence is not arithmetic.

By examining the given sequences using this method, you can determine whether each sequence is arithmetic or not.

User Ranjeet Ranjan
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