ehookfin22
ehookfin22 ehookfin22
  • 23-04-2022
  • Mathematics
contestada

Write an explicit formula for a,, the nth
term of the sequence 39, 45, 51, ....

Respuesta :

semsee45
semsee45 semsee45
  • 23-04-2022

Answer:

[tex]a_n=33+6n[/tex]

Step-by-step explanation:

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

Given terms:

  • [tex]a_1=39[/tex]
  • [tex]a_2=45[/tex]
  • [tex]a_3=51[/tex]

To find the common difference, subtract a term from the next:

[tex]d=a_3-a_2=51-45=6[/tex]

Substitute [tex]a=39[/tex] and [tex]d=6[/tex] into the formula:

[tex]\implies a_n=39+6(n-1)[/tex]

[tex]\implies a_n=39+6n-6[/tex]

[tex]\implies a_n=33+6n[/tex]

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