The given sequence is:

$-5, -2, -7, -9, -16, \ldots$

Let's analyze the differences between consecutive terms:

$-2 - (-5) = 3$ $-7 - (-2) = -5$ $-9 - (-7) = -2$ $-16 - (-9) = -7$

So the differences between terms are: $3, -5, -2, -7$.

Now, let's see if the differences follow a pattern. The second differences (differences of the differences) are:

$-5 - 3 = -8$ $-2 - (-5) = 3$ $-7 - (-2) = -5$

These second differences don't show a constant value, so the sequence might involve alternating steps or a more complex pattern. However, from observation, it appears that the first set of differences may repeat. Following the established differences, we can predict the next terms:

• The next difference should be $-2 + (-8) = -10$, so the next term is: $-16 + (-10) = -26$

• The next difference after that would be $-26 + (-3) = -29$.

Thus, the next two terms of the sequence are:
-26, -29.

Would you like more details or have any questions?

Here are 5 related questions:

1. How can we determine if a sequence is arithmetic or geometric?
2. What are second differences, and when are they useful?
3. How can you find the formula for a sequence?
4. What is the difference between a finite and infinite sequence?
5. How can alternating patterns in sequences be identified?

Tip: Checking the differences between consecutive terms is a useful way to find patterns in sequences.