Q. What is the next term of the arithmetic sequence?1,−2,−5,
Identify sequence type: Identify the type of sequence.The sequence 1, −2, −5 appears to have a constant difference between its terms, which suggests it is an arithmetic sequence.
Calculate common difference: Calculate the common difference of the sequence.To find the common difference, subtract the first term from the second term: −2−1=−3. Then, subtract the second term from the third term: −5−(−2)=−5+2=−3. The common difference is −3.
Determine next term: Determine the next term in the sequence.To find the next term, add the common difference to the last term given in the sequence: −5+(−3)=−8.