what is the 50th term of the sequence that begins -2, 4, 10, 16...?
The common difference between consecutive terms in this sequence is 6. Thus, to find the 50th term, we can start with the first term (-2) and add 6, then add 6 again, and so on, until we have added 6 a total of 49 times:
-2 + (6 × 49) = -2 + 294 = 292
Therefore, the 50th term of the sequence is 292.