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Question
Consider the sequence defined recursively by p1=a (any positive integer), and pn+1=1pn+1, n=1,2,3 For which of the following values of n must
pn=a?
Options:
A .  15
B .  18
C .  19
D .  14
E .  Cannot be determined
Answer: Option C
:
C
p1=a;p2=1a+1;p3=(11a);p4=a.
Hence the pattern p1=p4=p7=p10=p13=p16=p19....=a
Hence, choice (c) is the right answer

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