Predict the next term in the sequence.1, 14, 51, 124, 245, 426, ...*1 point679678

The given sequence is: 1, 14, 51, 124, 245, 426

To find the pattern, let's look at the differences between consecutive terms:

14 - 1 = 13 51 - 14 = 37 124 - 51 = 73 245 - 124 = 121 426 - 245 = 181

The differences between the terms are not constant, so this is not an arithmetic sequence. However, the differences themselves seem to form a pattern:

37 - 13 = 24 73 - 37 = 36 121 - 73 = 48 181 - 121 = 60

The differences between the differences are increasing by 12 each time. If we continue this pattern, the next difference should be 60 + 12 = 72.

So, the next term in the sequence should be 426 (the last term given) + 181 (the last difference) + 72 (the next difference) = 679.

Therefore, the next term in the sequence is 679.