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  • 22-09-2022
  • Mathematics
contestada

Match the sequence to its equation
2, -4,-10, -16

Respuesta :

sangers1959 sangers1959
  • 22-09-2022

Answer: 2, -4, -10. -16, ..., -6n+8  n=1, 2, 3, ...

Step-by-step explanation:

2, -4, -10, -16

a₁=2

a₂=-4

a₃=-10

a₄=-16

a₂-a₁=-4-2=-6

a₃-a₂=-10-(-4)=-6

a₄-a₃=-16-(-10)=-6

Hence, this is an arithmetic progression: a₁=2    d=-6

[tex]a_n=a₁+(n-1)d\\a_n=2+(n-1)(-6)\\a_n=2-6n+6\\a_n=-6n+8[/tex]

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