Question

consider the statement 7n -3n divisible by A
1. verify the result for n=2
2.prove that statement using mathematical​

Answer 1

Answer:

Consider P(n):7n−3n is divisible by 4

Now,

P(1):71−31=4

Thus, it is true for n=1

Let p(k) is true for n=K

7k−3kisdivisibleby4

Now, prov that P(k+1) is true.

7(k+1)−3(k+1)=7(k+1)−7.3k+7.3k−3(k+1)=7(7k−3k)+(7−3)3k=7(4d)+(7−3)3k=7(4d)+4.3k=4(7d+3k)

Hence, P(n):7n−3n is divisible by 4 is true

Answer 2

Answer:

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Step-by-step explanation:

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