Q. What is the next term of the arithmetic sequence? −5,−1,3,7,11
Identify sequence type: Identify the type of sequence.The sequence −5, −1, 3, 7, 11 appears to have a constant difference between consecutive 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, −1−(−5)=4.
Verify common difference: Verify the common difference by checking other consecutive terms.Check another pair of consecutive terms to ensure the common difference is consistent: 3−(−1)=4.
Find next term in sequence: Find the next term in the sequence.Add the common difference to the last term in the sequence: 11+4=15.