What is the next term of the arithmetic sequence? -8,-14,-20,-26", "

Identify sequence type: Identify the type of sequence. The sequence -8, -14, -20, -26 has a constant difference between its terms, which indicates that it is an arithmetic sequence.Determine common difference: Determine the common difference in the arithmetic sequence. To find the common difference, subtract the first term from the second term: -14 - (-8) = -14 + 8 = -6.Verify common difference: Verify the common difference with another pair of consecutive terms. Subtract the third term from the fourth term: -26 - (-20) = -26 + 20 = -6. This confirms that the common difference is indeed -6.Calculate next term: Calculate the next term in the sequence. Add the common difference to the last term: -26 + (-6) = -26 - 6 = -32.

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What is the next term of the arithmetic sequence?

-8,-14,-20,-26", "

What is the next term of the arithmetic sequence? $\newline$ $-8,-14,-20,-26$

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

\newline

-8,-14,-20,-26

Identify sequence type: Identify the type of sequence. $\newline$ The sequence $-8$ , $-14$ , $-20$ , $-26$ has a constant difference between its terms, which indicates that it is an arithmetic sequence.
Determine common difference: Determine the common difference in the arithmetic sequence. $\newline$ To find the common difference, subtract the first term from the second term: $-14 - (-8) = -14 + 8 = -6$ .
Verify common difference: Verify the common difference with another pair of consecutive terms. $\newline$ Subtract the third term from the fourth term: $-26 - (-20) = -26 + 20 = -6$ . $\newline$ This confirms that the common difference is indeed $-6$ .
Calculate next term: Calculate the next term in the sequence. $\newline$ Add the common difference to the last term: $-26 + (-6) = -26 - 6 = -32$ .