Question

prove by principle of mathematical induction " 7n - 3n is divisible by 4"

Answer 1

Answer:

Step-by-step explanation:

for every positive integer n,  7n- 3n is divisible by 4

Step-by-step explanation:

For every positive integer n,prove that 7n- 3n is divisible by 4

Let assume than n is a positive integer

7n - 3n

= 4n

= 4 * n

=> (7n - 3n)/4  =  4n/4

=> (7n - 3n)/4 = n

While n   a positive integer  as it  was assumed

Hence (7n - 3n) is divisible by 4  as it is resulting in an integer

Hence we can say that for every positive integer n,  7n- 3n is divisible by 4

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