Put the following statements into order to prove that is divisible by 3 for all non-negative integers n. Put N next to the statements that should not be used.

Answers

N 2 3 N N 5 4 N N 1 next to the statements that should not be used.

What is sequence and example?

A sequence is an ordered list of numbers . The three dots mean to continue forward in the pattern established.

Each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.

sequence

The statement is true for n = 0 because 0 is divisible by 3.

Now suppose we have proved the statement for some n element of N This means that 4^n -1 = 3k for some integer k..

We now consider the quantity 4^n+1 -1 = 4 . 4^n – 1 = 3 . 4^n + 4^n – 1

We use the inductive hypothesis to simplify that equation to 4^n+1 – 1 = 3 . 4^n + 3k = 3 (4^n + k).

We have thus shown that 4^n+ 1- 1 is a multiple of 3.

N 2 3 N N 5 4 N N 1nextto the statements that should not be used.What is sequence and example?sequenceis an ordered list of numbers . The three dots mean to continue forward in the pattern established.sequencen = 0because 0 is divisible by 3.hypothesisto simplify that equation to 4^n+1 – 1 = 3 . 4^n + 3k = 3 (4^n + k).4^n+ 1- 1is a multiple of3.sequencebrainly.com/question/21961097#SPJ4