Final answer:
The sequence multiplies each term by 7 to get the next term, so the next two terms after -196 are -1372 and -9604.
Step-by-step explanation:
Understanding the Sequence and Finding the Next Terms
The sequence given is: -4, -28, -196, ... . To determine the pattern, let's examine the relationship between successive terms.
The second term (-28) is 7 times the first term (-4).
The third term (-196) is also 7 times the second term (-28).
This pattern suggests that each term is 7 times the previous term. Therefore, the next two terms in the sequence can be found by multiplying the last known term by 7:
For the fourth term: -196 * 7 = -1372
For the fifth term: -1372 * 7 = -9604
The fourth and fifth terms are -1372 and -9604, respectively.