Q. What is the next term of the arithmetic sequence?−6,−8,−10,−12
Identify sequence type: Identify the type of sequence.The sequence −6,−8,−10,−12 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. For example, −8−(−6)=−2.
Verify common difference: Verify the common difference by checking it with another pair of consecutive terms.For instance, −10−(−8)=−2, which confirms the common difference is indeed −2.
Find next term in sequence: Find the next term in the sequence by adding the common difference to the last given term.The last term given is −12, so the next term is −12+(−2)=−14.