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PLEASE SOMEBODY HELP ME WITH THIS QUESTION ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!

This problem is called the Collatz Conjecture and is an unproven statement in mathematics. People have used computers to try all the numbers up to 5×260 and many mathematicians believe it to be true, but since all natural numbers are infinite in number, this test does not constitute a proof.

Consider the following pattern generating rule:

If the last number is odd, multiply it by 3 and add 1.

If the last number is even, divide the number by 2.

Repeat.

Show a few different starting numbers and see if you can state what you think always happens. Show at least two different representations.

Respuesta :

MrRoyal

The set of numbers in the Collatz Conjecture are 1, 4, 2, 1, 4, 2, 1, 4, 2....

How to generate the numbers in the Collatz Conjecture

To start with, we make use of the following starting point:

Starting point = 1

The rule is given as:

  • If the last number is odd, multiply it by 3 and add 1.
  • If the last number is even, divide the number by 2.

1 is an odd number.

So, we use the first rule

So, we have:

1 * 3 + 1 = 4

4 is an even number.

So, we use the second rule

So, we have:

4/2 = 2

So, the first three numbers in the Collatz Conjecture are:

1, 4, 2

Using the given rules, we have:

1, 4, 2, 1, 4, 2, 1, 4, 2....

The above means that there is only one set of repeating numbers in the Collatz Conjecture.

Hence, the set of numbers in the Collatz Conjecture are 1, 4, 2, 1, 4, 2, 1, 4, 2....

Read more about sequence at:

brainly.com/question/7882626

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