# SOLUTION: 15th august is a monday. show that after 2^n days there will not be a monday.which are possible days?

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 Algebra: Numeric Fractions Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Numeric Fractions Question 475378: 15th august is a monday. show that after 2^n days there will not be a monday.which are possible days?Answer by richard1234(5390)   (Show Source): You can put this solution on YOUR website!2^n is never a multiple of 7 (its only prime factors are 2). For integer n, 2^n can be either 1,2,4 mod 7, in which the corresponding days are Tuesday, Wednesday, and Friday.