Respuesta :

It will be 6 cause it is going by 1+ 1,2,3,4,5,6 (if it was 1,3,6,9, it will be 12 cause it is going by 3+) so answer is 6

Answer:

[tex]t_n=n[/tex]

Step-by-step explanation:

Arithmetic sequence

General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

where:

  • [tex]a_n[/tex] is the nth term
  • a is the first term
  • d is the common difference between terms

Given sequence: 1, 2, 3, 4, 5, ...

Therefore:

  • a = 1
  • d = 1
  • [tex]a_n=t_n[/tex]

Substituting the given values into the formula:

[tex]\implies t_n=1+(n-1)1[/tex]

[tex]\implies t_n=1+n-1[/tex]

[tex]\implies t_n=n[/tex]

Therefore, [tex]t_n=n[/tex]

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