Q. What is the next term of the arithmetic sequence?2,−1,−4,−7,−10
Identify sequence type: Identify the type of sequence.The sequence 2, −1, −4, −7, −10 has a constant difference between its terms, which means it is an arithmetic sequence.
Determine common difference: Determine the common difference of the sequence.To find the common difference, subtract any term from the term that follows it. For example, −1−2=−3.
Verify common difference: Verify the common difference with another pair of consecutive terms.Check the common difference using another pair: −4−(−1)=−3. The common difference is consistent.
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: −10+(−3)=−13.