danidanidani danidanidani
  • 20-08-2019
  • Mathematics
contestada

The first term of an arithmetic sequence is 0 and the common difference is 12. Find the value of the 96th term of the sequence

Respuesta :

calculista
calculista calculista
  • 30-08-2019

Answer:

[tex]a_9_6=1,140[/tex]

Step-by-step explanation:

we know that

The formula of an arithmetic sequence is

[tex]a_n=a_1+(n-1)d[/tex]

where

[tex]a_1[/tex] is the first term

[tex]a_n[/tex] is the nth term

n is the number of terms

d is the common difference

we have

[tex]n=96\\ d=12[/tex]

[tex]a_1=0[/tex]

substitute the given values

[tex]a_9_6=0+(96-1)(12)[/tex]

[tex]a_9_6=1,140[/tex]

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