Find the missing term of the following arithmetic sequence.
. . . –6, __, 2, . . .
The missing term can be found by identifying the common difference in the sequence. The common difference is the constant value added to each term to get the next term.
In this sequence, -6 is followed by 2. To determine the common difference, we subtract the first term from the second term: 2 - (-6) = 2 + 6 = 8.
The common difference is 8. To find the missing term, we need to add 8 to the previous term (2): 2 + 8 = 10.
Therefore, the missing term is 10.