Question

for what natural values of n is the value of each expression to a natural number? (n+6)/n

Answer 1

Answer:

(n + 6)/n = 1 + 6/n

This expression is a natural number when n = 1, 2, 3, 6.

Answer 2

Step-by-step explanation:

The expression (n+6)/n is a natural number for all natural values of n except for 0. This is because for any natural number n, n+6 is also a natural number, and dividing two natural numbers always results in a natural number. However, when n=0, n+6=6, and dividing 6 by 0 is undefined. Therefore, the only natural value of n for which (n+6)/n is not a natural number is n=0