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Question

Let a0=0 and an=3an1+1 for n1 then the remainder obtained on dividing a2010 by11 is

A
0
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B
7
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C
3
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D
4
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Solution

The correct option is D 0
a0=0an=3an1+1a1=3a0+1=1a2=3a1+1=4a3=3a2+1=12a4=40a5=121
Thus if n is a multiple of 5, the term is divisible be 11
2010 is a multiple of 5.
Hence a201011 will give 0 remainder.

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