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'Weekly Problem 23 - 2011' printed from http://nrich.maths.org/

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The name Matilda is written repetitively like this:
$$MatildaMatildaMatilda......$$What is the $1000$th letter?
 
 
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
  
 

This problem is taken from the UKMT Mathematical Challenges.

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