Q. What is the next term of the arithmetic sequence?0,2,4,6,
Identify Sequence Type: Identify the type of sequence.The sequence 0,2,4,6 has a constant difference between consecutive terms, which indicates that it is an arithmetic sequence.
Determine Common Difference: Determine the common difference in the arithmetic sequence.The difference between the first and second term is 2−0=2.The difference between the second and third term is 4−2=2.The difference between the third and fourth term is 6−4=2.The common difference is 2.
Calculate Next Term: Calculate the next term in the sequence.To find the next term, add the common difference to the last known term of the sequence.The last known term is 6, so the next term is 6+2=8.