Question

Question 5
Prove that the fraction
7n+1/20n +3
is irreducible for every natural number n.​

Answer 1

Step-by-step explanation:

A frequently asked questions (FAQ) forum is often used in articles, websites, email lists, and online forums where common questions tend to recur, for example through posts or queries by new users related to common knowledge gaps.

Answer 2

Answer:

Suppose $\frac{7n+1}{20n +3} = k$

So

$7n+1 = k(20n +3)\\(7 + 20k) n = 3k - 1\\n = \frac{3k - 1}{7 + 20k}$

Since 3k - 1 < 7 + 20k, n is not a natural number

So, $\frac{7n+1}{20n +3}$ is irreducible for every natural number n.