Question

If n is a natural number, by which number 9²n -4²n is divisible

Answer 1

Answer:25

Step-by-step explanation:

Answer 2

9²n - 4²n

(9-4)²n

5²n

if n=1

9²×¹=9²=81......(1)

4²×¹=4²=16.......(2)

from (1) and (2)

81-16=65

65 is divisible by 5

therefore 9²n - 4²n is divisible by 5