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Entertain Every Value? (Posted on 2014-04-29) Difficulty: 3 of 5
The respective number of digits of 4n and 25n - when added together is odd, whenever n is a positive integer.

Does this assertion hold for every value of n?

If so, prove it.
If not, provide a counter example.

No Solution Yet Submitted by K Sengupta    
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Solution a short proof Comment 2 of 2 |
let lg(4)=w
The respective number of digits of 4n and 25n - when added together is     int( n*w+1)   +2*n+1    - int(n*w+1)   = +2*n+1   which is odd, for any positive integer n.



QED

Edited on April 30, 2014, 4:39 am
  Posted by Ady TZIDON on 2014-04-30 04:32:00

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