Ask a New Question

Question

1^2014 + 2^2014 + 3^2014 + 4^2014 + 5^2014 divided by 5, remains ______
8 years ago

Answers

Steve
powers of the numbers end in

1: 1,...
2: 2,4,8,6,...
3: 3,9,7,1,...
4: 4,6,...
5: 5,...

Note that all can be grouped in periods of 4.

2014 = 4*53 + 2

So, the 2014th powers end in

1,4,9,6,5

Their sum ends in 5

So, the remainder is zero.
8 years ago

Related Questions

£100 OF 8½% 2014 TREASURY STOCK ASSUME THE SAME INTEREST RATE. Find the present value. Assume today'... how to write 04 feb 2014 in 5 letters without using numbers. http://www.cnn.com/2014/03/14/tech/innovation/pi-day-math-celebrations/ HOW DO YOU WRITE 21 MAY 2014 IN 5 LETTERS WITHOUT USING NUMBERS 2014 numbers are placed along the circumference of a circle. When any five successive numbers are ad... how do we write 12 aug 2014 in 5 letters without using numbers.. Oct. 1, 2014 To Whom It May Cocern During my absence I hereby authorize Mr. Rame Ahmed Mosta... 6. On May 23, 2014, the existing or current (spot) one-year, two-year, three-year, and four-year ze... If x+1/x =2 ,then x^2014+1/x^2016=? According to the MTF(2014), the use of --- increase dramatically with age and grade level a. Alcoh...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use