2) 1, 3, 1, -3, -7, -21, -25,
Answer:
Let's find the pattern in the sequence "1, 3, 1, -3, -7, -21, -25":
1. 3 - 1 = 2
2. 1 - 3 = -2
3. -3 - 1 = -4
4. -7 - (-3) = -4
5. -21 - (-7) = -14
6. -25 - (-21) = -4
The pattern is as follows:
- Starting with 1, the first term is added by 2 and alternates between addition and subtraction by 4.
Therefore, the next term in the sequence would be:
-25 - 4 = -29
Corrected sequence: 1, 3, 1, -3, -7, -21, -25, -29