Let an denote the number of all n−digit positive integers formed by the digits 0,1 or both such that noconsecutive digits in them are 0. Let bn= the number of such n−digit integers ending with digit 1 andcn= the number of such n-digit integers ending with digit 0.Which of the following is correct ?

Let an denote the number of all n−digit positive integers formed by

1.	Let an denote the number of all n−digit positive integers formed by the digits 0,1 or both such that noconsecutive digits in them are 0. Let bn= the number of such n−digit integers ending with digit 1 andcn= the number of such n-digit integers ending with digit 0.Which of the following is correct ?
Answer» Let $a_{n}$ 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 $b_{n} =$ the number of such $n -$ digit integers ending with digit $1$ and $c_{n} =$ the number of such n-digit integers ending with digit $0$ . Which of the following is correct $?$