Question

For any integer n greater than or
equal to zero, 7n - 2n
A is divisible by 4
Bis divisible by 2
C)is divisible by 3
Dis divisible by 5​

Answer 1

Answer:

(b) is divisible by 2

Step-by-step explanation:

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Answer 2

Answer:

is B

Step-by-step explanation:

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)