Given the statement 11^(n -6) is divisible by 5 for every positive integer n. What must be shown in the induction step?

Proved

Step-by-step 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

The 5 outside the bracket implies that it is divisible by 5

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

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