If a sequence contains only whole numbers, which of these sequences could include the term 27?

an = 2an – 1

an = 2an – 1 + 1

an = 3an – 1

an = an – 1 + 6

an = 3an – 1 + 1

Respuesta :

Depending on the first term, the sequences
[tex]a_n=2a_{n-1}+1 \\ \\a_n=3a_{n-1} \\ \\a_n=a_{n-1}+6[/tex]
would work.

If the sequence began at 6, 
[tex]a_n=2a_{n-1}+1=6, 13, 27, ...[/tex]

If the sequence began at 1, 
[tex]a_n=3a_{n-1}=1, 3, 9, 27, ...[/tex]

If the sequence began at 3, 
[tex]a_n=a_{n-1}+6=3, 9, 15, 21, 27, ...[/tex]

The sequence 2,3 and 4 include the term 27.

Depending on the first term, the sequences

[tex]a_n = 2a_{n - 1}+1[/tex]

[tex]a_n = 3a_{n - 1}[/tex]

[tex]a_n = a_{n - 1}+ 6[/tex]

If the sequence began at 6

What is the sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.

[tex]a_n = 2a_{n - 1}+1[/tex]=6,13,27

If the sequence began at 1,

[tex]a_n = 3a_{n - 1}[/tex] =1,3,9,27

If the sequence starts with 3

[tex]a_n = a_{n - 1}+ 6[/tex]=3,9,15,21,27

To learn more about the sequence visit:

https://brainly.com/question/6561461

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