termaine777 termaine777
  • 09-04-2021
  • Mathematics
contestada

Find the 65th term of the arithmetic sequence -30, -41, -52

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 13-04-2021

Answer:

        a₆₅ = - 734

Step-by-step explanation:

The n-th term of arithmetic sequence:  [tex]a_n = a_1+d(n-1)[/tex]

a₁ = -30

a₂ = -41

a₃ = -52

-41 - (-30) = -11  and -52 - (-41) = -11

It means d = -11

Therefore:

              [tex]a_{65}=-30+(-11)(65-1)=-30-11\times64=-734[/tex]

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