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Consider the following process. Start with the numbers 1 and 4. A third number is created by taking the sum of the previous two numbers, which in this case gives us 5. Then, a fourth number is obtained by adding 4 and 5. This process can be repeated to create a sequence of numbers.

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fahadisahadam

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vlatkostojanovic

Answer:

We get a sequence of numbers:

[tex]S=\{1, 4, 5, 9, 14, 23, ...\}[/tex]

Step-by-step explanation:

Start with the numbers 1 and 4. A third number is created by taking the sum of the previous two numbers, which in this case gives us 5. Then, a fourth number is obtained by adding 4 and 5.  

We have:

[tex]a_1=1\\\\a_2=4\\\\a_3=a_1+a_2=5\\\\a_4=a_3+a_2=9\\\\a_5=a_4+a_3=14\\\\a_6=a_5+a_4=23\\\\a_7=...[/tex]

We get a sequence of numbers:

[tex]S=\{1, 4, 5, 9, 14, 23, ...\}[/tex].

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