Question

7^n-3^n divisible by 4​

Answer 1

Answer:

answer for the given problem is given

Answer 2

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

ANSWER: Now prove that 7^n-3^n is divisible by 4 is true

Step By Step Explanation:

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