To identify the next year in the sequence 1973, 1979, 1987, 1993, 1997, 1999, we need to determine the pattern governing the sequence. Let's analyze the differences between consecutive years and check for any apparent regularity.
First, calculate the differences:
- 1979 - 1973 = 6
- 1987 - 1979 = 8
- 1993 - 1987 = 6
- 1997 - 1993 = 4
- 1999 - 1997 = 2
The sequence of differences is: 6, 8, 6, 4, 2.
Observing this sequence of differences, it reduces by 2 each time: 6 - 8 (-2), 8 - 6 (2), 6 - 4 (2), 4 - 2 (2). After reaching the difference of 2, it appears logical for the next difference to maintain a progressive pattern, suggesting a decreasing sequence cycle restart or reset.
Let's consider adding another 2 to the last difference:
Therefore, if we add 4 to the last term in the sequence (1999), we get:
This indicates that the next year in the sequence is 2003. Thus, the correct answer is 2003.