Consider the sequence of dates given below:
What is the next term of the sequence?
- A
- B
- C
- D
Solution & Step-by-step Explanation
Let us calculate the intervals in terms of days between consecutive terms in the sequence:
1. **From (6th Dec 1971) to (2nd Jan 1972):**
December has 31 days. Remaining days in Dec days. Adding 2 days of January gives .
2. **From (2nd Jan 1972) to (29th Jan 1972):**
.
3. **From (29th Jan 1972) to (25th Feb 1972):**
January has 31 days. Remaining days in Jan days. Adding 25 days of February gives .
The pattern shows a constant gap of exactly .
To find the next term, add to (25th Feb 1972). Note that 1972 is a leap year, so February contains .
* Days remaining in February days.
* Balance days to add in March days.
Thus, the next date is 23rd March 1972, which translates to .
1. **From (6th Dec 1971) to (2nd Jan 1972):**
December has 31 days. Remaining days in Dec days. Adding 2 days of January gives .
2. **From (2nd Jan 1972) to (29th Jan 1972):**
.
3. **From (29th Jan 1972) to (25th Feb 1972):**
January has 31 days. Remaining days in Jan days. Adding 25 days of February gives .
The pattern shows a constant gap of exactly .
To find the next term, add to (25th Feb 1972). Note that 1972 is a leap year, so February contains .
* Days remaining in February days.
* Balance days to add in March days.
Thus, the next date is 23rd March 1972, which translates to .