Mark the Correct alternative in the following:
If P(n) : 49ⁿ + 16ⁿ + λ is divisible by 64 for n ∈ N is true, then the least negative integral value of λ is

Question

Mark the Correct alternative in the following: If P(n) : 49 n + 16 n + λ is divisible by 64 for n ∈ N is true, then the least negative integral value of λ is

Philoid · Accepted Answer

For n=1,

49 16 + λ

⇒ 65 + λ

Now we can see that if λ = -1, then it is divisible by 64

؞ λ = -1

Mark the Correct alternative in the following:If P(n) : 49n + 16n + λ is divisible by 64 for n ∈ N is true, then the least negative integral value of λ is

Mark the Correct alternative in the following:
If P(n) : 49ⁿ + 16ⁿ + λ is divisible by 64 for n ∈ N is true, then the least negative integral value of λ is