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Q 2 - pg 2 ( 9 points ) Building blocks - Page 2 : Recurrence relation c ) Describe a recursive algorithm to construct
Qpg points
Building blocks Page : Recurrence relation
c Describe a recursive algorithm to construct all the possible towers of centimeters by adding blocks to smaller towers. Explain this
algorithm, supporting your explanation with drawings.
d Based on the algorithm in c give a recurrence relation for the sequence as a function of some of the elements of the sequence
that precede
Hint: the algorithm in c is used in d to count the different ways to construct a tower of a specific size. Be sure that the same tower
configuration is not constructed more than once by your algorithm.
e Specify the values of for which this recurrence relation applies.
f Could you have started this sequence at instead of if so explain what would be the meaning and value of and rewrite your
entire recursive definition accordingly.
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