Answer :
To solve this sequence problem, let's first identify a pattern in the numbers given in the sequence:
212, 101, 313, -212, 101, -313, -212, -101,...
This list alternates between positive and negative numbers. We can split this sequence into two parts: one part for positive numbers and one part for negative numbers.
Positive Sequence:
- First appears: 212, 101, 313
- Repeats with: 212, 101
Negative Sequence:
- First appears: -212, -313
- Repeats with: -212, -101
Observing the sequence order, we see that the pattern is:
- After 212 comes 101
- After 101 comes 313
- The cycle then repeats, alternating the signs of the numbers but maintaining the order.
Based on this understanding, we can predict the next terms in the sequence after the last observed term (-101):
- Positive Sequence Prediction: After -101, we expect the sequence to return to the beginning of the positive pattern, which is 212.
- Next: From 212 in the positive sequence, it should be followed by 101.
Thus, the next two terms should be -313, 212. This confirms that option (A) '-313, 212' is the correct choice.
