What is the next number in the series: 5, 2, -1, -4, -7, _?

To determine the next number in the series, first, let's look at the pattern in the sequence: 5, 2, -1, -4, -7.

By examining the differences between consecutive numbers, we find:

• From 5 to 2, the difference is -3.

• From 2 to -1, the difference is -3.

• From -1 to -4, the difference is -3.

• From -4 to -7, the difference is -3.

Each term in the series is decreasing by 3, which establishes a clear linear pattern. Therefore, to find the next number after -7, we subtract 3 again:

-7 - 3 = -10.

Thus, the next number in the series is -10, confirming that the answer is correct. This maintains the consistent pattern of subtracting 3 throughout the sequence.