mandelingarcia mandelingarcia
  • 23-11-2020
  • Mathematics
contestada

Write a rule for the nth term of the arithmetic sequence. 34, 41, 48, 55, . . .

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 25-11-2020

Answer:

              [tex]\bold{a_n=7n+27}[/tex]

Step-by-step explanation:

[tex]a_1=34\\a_2=41\\a_3=48\\a_4=55\\\\41-34=7\ \ and\ \ 48-41=7\ \ and \ \ 55-48=7[/tex]

So this is the arithmetic sequence with difference d=7

[tex]a_n=a_1+d(n-1)\\\\a_n=34+7(n-1)\\\\a_n=34+7n-7\\\\\underline{a_n=7n+27}[/tex]

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