The set of numbers in the Collatz Conjecture are 1, 4, 2, 1, 4, 2, 1, 4, 2....
<h3>How to generate the numbers in the
Collatz Conjecture</h3>
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....
<h3>
Fibonacci sequence</h3>
The first and the second numbers are given as:
First = 2
Second = 5
The current term of a Fibonacci sequence is the sum of the previous two terms.
Using the above rule, the first 10 terms are:
2, 5, 7, 12, 19, 31, 50, 81, 131, 212
<h3>The sum of the first 10 terms of the new sequence</h3>
We have:
2, 5, 7, 12, 19, 31, 50, 81, 131, 212
Add the terms
Sum = 2+ 5+ 7+ 12+ 19+31+50+81+131+212
Evaluate
Sum = 550
Hence, the sum of the first 10 terms of the new sequence is 550
Read more about sequence at:
brainly.com/question/7882626
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