Let $$a_{n}$$ and $$b_{n}$$ be two sequences such that $$a_{n}=13+6(n-1)$$ and $$b_{n}=15+7(n-1)$$ for all nat

Question

Let $$a_{n}$$ and $$b_{n}$$ be two sequences such that $$a_{n}=13+6(n-1)$$ and $$b_{n}=15+7(n-1)$$ for all natural numbers n. Then, the largest three digit integer that is common to both these sequences, is

Accepted Answer

It is given that a n = 13 + 6 ( n − 1 ) a_{n}=13+6(n-1) a n ​ = 13 + 6 ( n − 1 ) , which can be written as a n = 13 + 6 n − 6 = 7 + 6 n a_n=13+6n-6\ =\ 7+6n a n ​ = 13 + 6 n − 6 = 7 + 6 n Similarly, b n = 15 + 7 ( n − 1 ) b_{n}=15+7(n-1) b n ​ = 15 + 7 ( n − 1 ) , which can be written as b n = 15 +

Let $a_{n}$ and $b_{n}$ be two sequences such that $a_{n}=13+6(n-1)$ and $b_{n}=15+7(n-1)$ for all natural numbers n. Then, the largest three digit integer that is common to both these sequences, is

Let $a_{n}$ and $b_{n}$ be two sequences such that $a_{n}=13+6(n-1)$ and $b_{n}=15+7(n-1)$ for all natural numbers n. Then, the largest three digit integer that is common to both these sequences, is

Let ana_{n}an​ and bnb_{n}bn​ be two sequences such that an=13+6(n−1)a_{n}=13+6(n-1)an​=13+6(n−1) and bn=15+7(n−1)b_{n}=15+7(n-1)bn​=15+7(n−1) for all natural numbers n. Then, the largest three digit integer that is common to both these sequences, is

Let ana_{n}an​ and bnb_{n}bn​ be two sequences such that an=13+6(n−1)a_{n}=13+6(n-1)an​=13+6(n−1) and bn=15+7(n−1)b_{n}=15+7(n-1)bn​=15+7(n−1) for all natural numbers n. Then, the largest three digit integer that is common to both these sequences, is

Let $a_{n}$ and $b_{n}$ be two sequences such that $a_{n}=13+6(n-1)$ and $b_{n}=15+7(n-1)$ for all natural numbers n. Then, the largest three digit integer that is common to both these sequences, is

Let $a_{n}$ and $b_{n}$ be two sequences such that $a_{n}=13+6(n-1)$ and $b_{n}=15+7(n-1)$ for all natural numbers n. Then, the largest three digit integer that is common to both these sequences, is