Answer:
Proved
Explanation:
The given data is:
not

Required
Prove by induction that it is divisible by 5
Assume

So, we have:
where p is a positive digit
Rewrite as:

To solve further, we have to prove that
is true for

So, we have:


Add 0

Replace 0 with



Factorize

Substitute



Factorize

Factorize
![11^(k+1) - 6 = 5[11(p + 1)- 1]](https://img.qammunity.org/2022/formulas/mathematics/college/bewszx4e7zk1qznvn5biauovl4hlnjwp6e.png)
The 5 outside the bracket implies that it is divisible by 5