Question

6.*
1 point
(23n – 1) is divisible by (nen)
O (A) 25
O (B) 8
O (C) 3
O (D) 7​

Answer 1

Answer:

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Step-by-step explanation:

ANSWER

P(n):23n−1

If It's divisible by 7 then,

Base case:

n=1 then,

P(n):23n−1=23×1−1=7

If n=k is  true for some natural numbers, then It should also be true for (k+1),

For n=k,

P(k):23k−1=7d  

P(k):23k=7d+1                .....(1)         

Where d=1,2,3,4.......so on

Now we check for n=k+1,

P(k+1):23(k+1)−1=7d  

P(k+1):23k+3=7d+1                       

(Since axy=axay)

P(k+1):23k23=7d+1

Substituting value from equation (1),

P(k+1):(7d+1)×8=7d+1

                            56d+8=7d+1

                            7×(8d+1)=7d

Answer 2

Step-by-step explanation:

answer is 7 answer is 7 answer is 7