Q. What is the next term of the arithmetic sequence?−7,−5,−3,−1,1
Identify sequence type: Identify the type of sequence.The sequence −7,−5,−3,−1,1 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, −5−(−7)=2.
Verify common difference: Verify the common difference by checking other consecutive terms.For instance, −3−(−5)=2 and −1−(−3)=2. This confirms that the common difference is indeed 2.
Find next term in sequence: Find the next term in the sequence.To find the next term, add the common difference to the last term in the sequence. So, 1+2=3.