What is the next term of the arithmetic sequence? -6,-3,0,3", "

Identify sequence type: Identify the type of sequence. The sequence -6, -3, 0, 3 appears to have a constant difference between consecutive terms, which suggests it is an arithmetic sequence.Determine common difference: Determine the common difference in the arithmetic sequence. To find the common difference, subtract a term from the term that follows it. For example, -3 - (-6) = 3.Verify common difference: Verify the common difference with another pair of consecutive terms. Let's check the difference between 0 and -3: 0 - (-3) = 3. This confirms that the common difference is indeed 3.Calculate next term: Calculate the next term in the sequence. To find the next term, add the common difference to the last known term in the sequence. So, 3 + 3 = 6.

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What is the next term of the arithmetic sequence?

-6,-3,0,3", "

What is the next term of the arithmetic sequence? $\newline$ $-6,-3,0,3$

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Q. What is the next term of the arithmetic sequence?

\newline

-6,-3,0,3

Identify sequence type: Identify the type of sequence. $\newline$ The sequence $-6$ , $-3$ , $0$ , $3$ appears to have a constant difference between consecutive terms, which suggests it is an arithmetic sequence.
Determine common difference: Determine the common difference in the arithmetic sequence. $\newline$ To find the common difference, subtract a term from the term that follows it. For example, $-3 - (-6) = 3$ .
Verify common difference: Verify the common difference with another pair of consecutive terms. $\newline$ Let's check the difference between $0$ and $-3$ : $0 - (-3) = 3$ . This confirms that the common difference is indeed $3$ .
Calculate next term: Calculate the next term in the sequence. $\newline$ To find the next term, add the common difference to the last known term in the sequence. So, $3 + 3 = 6$ .