Friday 4 November 2011

START 2012, KVPY 2012

A sequence is called tworri c if its first term is 1 and the sum of every pair of
consecutive terms is a positive power of 2. One example of a tworri c sequence is 1, 7, -5,7, 57. (a) Find the shortest possible length of a tworri c sequence that contains the term 2011.
(b) Find the number of tworri c sequences that contain the term 2011 and have this
shortest possible length.
PRACTICE PROBLEMS FOR "KVPY & START 2012"
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