Q. What is the next term of the arithmetic sequence? −2,−4,−6, …
Identify sequence type: Identify the type of sequence.The sequence −2, −4, −6 shows a consistent difference between terms, indicating it is an arithmetic sequence.
Determine common difference: Determine the common difference in the arithmetic sequence.The difference between the first term (−2) and the second term (−4) is −4−(−2)=−2. The difference between the second term (−4) and the third term (−6) is −6−(−4)=−2. The common difference is −2.
Calculate next term: Calculate the next term in the sequence.To find the next term, add the common difference to the last term given in the sequence: −6+(−2)=−8.