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Lucky seven IV (Posted on 2011-07-23) Difficulty: 4 of 5
A base-N number formed by repeating the digit seven precisely (N-1) times is denoted by F(N). For example:

F(8) = 7,777,777 (base 8), F(9)= 77,777,777 (base 9) and, so on.

Determine the remainder when F(8)+ F(9)+ ....+ F(36) is divided by the base ten number 11.

*** For an extra challenge, solve this problem without using a computer program.

No Solution Yet Submitted by K Sengupta    
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Comments: ( Back to comment list | You must be logged in to post comments.)
re: computer solution Comment 2 of 2 |
(In reply to computer solution by Charlie)

hello... testing, 1,2,3 testing....
  Posted by John Howard on 2011-07-24 16:52:11

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