What is the next term of the arithmetic sequence? 8,5,2,-1,-4", "

Identify sequence type: Identify the type of sequence. The sequence 8, 5, 2, -1, -4 appears to have a constant difference between its 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 any term from the term that follows it: 5 - 8 = -3.Verify common difference: Verify the common difference by checking it with another pair of consecutive terms. Check the difference between 2 and 5: 2 - 5 = -3. This confirms that the common difference is indeed -3.Find next term: Find the next term in the sequence by adding the common difference to the last term. The last term given is -4, so add the common difference to this term: -4 + (-3) = -7.

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What is the next term of the arithmetic sequence?

8,5,2,-1,-4", "

What is the next term of the arithmetic sequence? $\newline$ $8, 5, 2, -1, -4$

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

\newline

8, 5, 2, -1, -4

Identify sequence type: Identify the type of sequence. $\newline$ The sequence $8, 5, 2, -1, -4$ appears to have a constant difference between its 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 any term from the term that follows it: $5 - 8 = -3$ .
Verify common difference: Verify the common difference by checking it with another pair of consecutive terms. $\newline$ Check the difference between $2$ and $5$ : $2 - 5 = -3$ . This confirms that the common difference is indeed $-3$ .
Find next term: Find the next term in the sequence by adding the common difference to the last term. $\newline$ The last term given is $-4$ , so add the common difference to this term: $-4 + (-3) = -7$ .