Principle of Ma...

For all n ∈ N,2.4²ⁿ⁺¹ + 3³ⁿ⁺¹ is divisible by :

If 49ⁿ + 16n + λ is divisible by 64 for all n ∈ N , then the least negative integral value of λ is

10²ⁿ⁻¹ + 1∀n ∈ N is divisible by :

For all odd positive integers n , the number n(n² − 1) is divisible by :

The nth terms of the series 4+14+30+52+80+114+….. is =

The product of three consecutive natural numbers is divisible by

For n ∈ N,3²ⁿ⁺² − 2³n − 9is divisible by