15th October 2007 is on Monday.Which day is on 15th October 2008?Find in the form of arithmetic progression.
It's a Wednesday. (I checked my cell phone calendar.)
TUESDAY
To find out which day of the week October 15th, 2008 falls on, you can use the concept of an arithmetic progression.
An arithmetic progression is a sequence of numbers where the difference between consecutive terms is constant. In this case, we are looking for the day of the week, which is a cycle that repeats every 7 days. So, we can say that the days of the week form an arithmetic progression with a common difference of 1.
Since October 15th, 2007, is given as a Monday, we can start from there and count the number of days to reach October 15th, 2008.
From October 15th, 2007, to October 14th, 2008, there are 365 days in total. Since each day of the week is a cycle of 7 days, we can divide 365 by 7 to find the remainder.
365 divided by 7 is 52 with a remainder of 1. This means that there are 52 complete cycles of 7 days (52 weeks) in 365 days, and there is an extra 1 day remaining.
Starting from Monday (the given day), if we move ahead 1 day, it will be Tuesday.
So, October 15th, 2008, falls on a Tuesday.