Q. What is the next term of the arithmetic sequence?−3,−7,−11,−15
Identify sequence type: Identify the type of sequence.The sequence −3, −7, −11, −15 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 the first term from the second term: −7−(−3)=−7+3=−4.
Verify common difference: Verify the common difference with another pair of consecutive terms.Subtract the third term from the fourth term: −15−(−11)=−15+11=−4.The common difference is confirmed to be −4.
Calculate next term: Calculate the next term in the sequence.Add the common difference to the last term: −15+(−4)=−15−4=−19.