ashleemurr24 ashleemurr24
  • 24-11-2020
  • Mathematics
contestada

Find the common difference of the arithmetic sequence –8, -2, 4, ...

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 26-11-2020

Answer:

              d = 6

Step-by-step explanation:

[tex]a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6[/tex]

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