it was sunday on jan 1, 2006. what was the day of the week jan 1, 2010?
To determine the day of the week for January 1, 2010, we can use the concept of the Gregorian calendar, which repeats every 400 years. To calculate this, we need to consider the number of leap years within this period.
From January 1, 2006, to January 1, 2010, there are four years: 2006, 2007, 2008, and 2009. We need to determine the number of leap years within this period.
A leap year occurs every four years, except for years divisible by 100 that are not divisible by 400.
Between 2006 and 2010, there is only one leap year: 2008.
So, we have three non-leap years (2006, 2007, and 2009) and one leap year (2008).
To calculate the day of the week for January 1, 2010, starting from Sunday on January 1, 2006, we need to take into account these factors:
- A non-leap year advances one day of the week.
- A leap year advances two days of the week.
In this case, we have three non-leap years, which would advance the day of the week by three days, and one leap year, which would advance it by two days.
Adding these together, we have:
3 non-leap years: 3 days advance
1 leap year: 2 days advance
Therefore, the cumulative advance is 5 days.
Starting from Sunday (January 1, 2006), if we advance 5 days, the day of the week for January 1, 2010, would be Friday.
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