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Write the next three terms of the arithmetic sequence, then graph the sequence.$13,\ 7,\ 1,\ -5,\ ...$13, 7, 1, −5, ...​The next terms are , , and .​​​​​​​

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Write the next three terms of the arithmetic sequence, then graph the sequence.$13,\ 7,\ 1,\ -5,\ ...$13, 7, 1, −5, ...​The next terms are , , and .​​​​​​​
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Solution 1

The common difference in this arithmetic sequence is -6 (7-13 or 1-7 or -5-1).

To find the next three terms, we subtract 6 from the last given term (-5) successively:

-5 - 6 = -11 (next term) -11 - 6 = -17 (next term) -17 - 6 = -23 (next term)

So, the next three terms are -11, -17, and -23.

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