KCET2018MathematicsBasics of Mathematics
If ( P(n): " 2^ 2 n-1 ) is divisible by ( k ) for all ( n N^ ) is true, then the value of ' ( k ) ' is
Options
- A( 06 )
- B( 3 )
- C( 07 )
- D( 12 )
Correct answer
B. ( 3 )
Step-by-step solution
Given that, P(n): " 2^ 2 n-1 is divisible by k for all n N " Thus 2^ 2 n -1=4^ n -1=(3+1)^ n -1=3 m Therefore, the value of k is 3 .