Q. What is the next term of the arithmetic sequence?−8,−14,−20, …
Identify sequence type: Identify the type of sequence.The sequence −8, −14, −20 has a constant difference between terms, which indicates it is an arithmetic sequence.
Determine common difference: Determine the common difference in the arithmetic sequence.The difference between the first two terms is −14−(−8)=−6.
Verify common difference: Verify the common difference by checking the difference between the next pair of terms.The difference between the second and third terms is −20−(−14)=−6.This confirms that the common difference is indeed −6.
Find next term in sequence: Find the next term in the sequence by adding the common difference to the last term.The next term is −20+(−6)=−26.