9 Nov 2013

OEMO 2001 Advanced Q1: Upper Secondary Mathematics Competition Question


Let n be an integer and S(n) be the sum of the 2001 powers of n with exponents 0 through 2000.
That is,


Determine the final digit (i.e., the ones-digit) in the decimal expansion of S(n).


[OEMO 2001 Advanced Q1]


Feel free to comment, ask questions and even check your answer in the comments box below powered by  Disqus Google+.

}

This space is here to avoid seeing the answers before trying the problem!

}

If you enjoy using this website then please consider making a donation - every little helps :-)

You can receive these questions directly to your email box or read them in an RSS reader. Subscribe using the links on the right.

Don’t forget to follow Gifted Mathematics on Google+Facebook or Twitter. You may add your own interesting questions on our Google+ Community and Facebook..

You can also subscribe to our Bookmarks on StumbleUpon and Pinterest. Many resources never make it onto the pages of Gifted Mathematics but are stored in these bookmarking websites to share with you.
Related Posts Plugin for WordPress, Blogger...