Let's analyze the sequence: -3, -2, -3, -6, -11.
To generate each term of the sequence, it seems that each subsequent term is obtained by performing a specific operation. Let's examine the differences between consecutive terms:
- The difference between -3 and -2 is 1.
- The difference between -2 and -3 is -1.
- The difference between -3 and -6 is -3.
- The difference between -6 and -11 is -5.
We can observe that the differences between consecutive terms are increasing in magnitude. This suggests that the terms are decreasing at an accelerating rate.
Given this pattern, it's evident that the sequence will continue to decrease and will never become positive. As the differences between consecutive terms are negative and increasing, the terms will continue to decrease without becoming positive. Therefore, the sequence will never have a positive term.
