IIT JEE Advanced 2012 Paper 2

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Paragraph for Questions 53 and 54:
Let an denote the number of all n–digit positive integers formed by the digits 0, 1 or both such that no consecutive digits in them are 0. Let bn = the number of such n – digit integers ending with digit 1 and cn = the number of such n-digit integers ending with digit 0.
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Question : 53
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