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0 votes
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in Mathematical Induction by (32.2k points)
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If P(n) : 49n + 16n + λ is divisible by 64 for n ∈ N is true, then the least negative integral value of λ is 

A. -3 

B. -2 

C. -1 

D. -4

1 Answer

+1 vote
by (32.1k points)
selected by
 
Best 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

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