What is the next term of the arithmetic sequence? 6,2,-2,-6", "

Identify sequence type: Identify the type of sequence. The sequence 6, 2, -2, -6 appears to have a constant difference between its terms, which suggests it is an arithmetic sequence.Calculate common difference: Calculate the common difference in the arithmetic sequence. The difference between the first and second term is 2 - 6 = -4. The difference between the second and third term is -2 - 2 = -4. The difference between the third and fourth term is -6 - (-2) = -4. The common difference is -4.Find next term: Find the next term in the sequence. To find the next term, add the common difference to the last term in the sequence. The last term is -6, so the next term is -6 + (-4) = -10.

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What is the next term of the arithmetic sequence?

6,2,-2,-6", "

What is the next term of the arithmetic sequence? $\newline$ $6, 2, -2, -6$

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

\newline

6, 2, -2, -6

Identify sequence type: Identify the type of sequence. $\newline$ The sequence $6$ , $2$ , $-2$ , $-6$ appears to have a constant difference between its terms, which suggests it is an arithmetic sequence.
Calculate common difference: Calculate the common difference in the arithmetic sequence. $\newline$ The difference between the first and second term is $2 - 6 = -4$ . $\newline$ The difference between the second and third term is $-2 - 2 = -4$ . $\newline$ The difference between the third and fourth term is $-6 - (-2) = -4$ . $\newline$ The common difference is $-4$ .
Find next term: Find the next term in the sequence. $\newline$ To find the next term, add the common difference to the last term in the sequence. $\newline$ The last term is $-6$ , so the next term is $-6 + (-4) = -10$ .