Q. What is the next term of the arithmetic sequence?−2,3,8,13,18
Identify sequence type: Identify the type of sequence.The sequence −2, 3, 8, 13, 18 appears to have a constant difference between each term, 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: 3−(−2)=3+2=5.Check this difference with other consecutive terms to ensure it is consistent: 8−3=5 and 13−8=5.The common difference is 5.
Determine next term: Determine the next term in the sequence.To find the next term, add the common difference to the last term in the sequence: 18+5=23.