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The first term in an arithmetic sequence is 5. The third term in the sequence is -1. The tenth term in the sequence is -22.

Which function can be used to find the nth term of the arithmetic sequence?



A.
An = -3n + 8

B.
An = n + 4

C.
An = 0.5(n+5) +2

D.
An = -n

Respuesta :

unicorn3125

Answer:

              A.

              aₙ = -3n + 8

Step-by-step explanation:

You just simply check, the terms:

A.

    [tex]a_1=-3(1)+8=-3+8=5\\a_3=-3(3)+8=-9+8=-1\\a_{10}=-3(10)+8=-30+8=-22[/tex]      YES

B.

   [tex]a_1=1+4=5\\a_3=3+4=7\ne-1[/tex]   NOT

C.

  [tex]a_1=0.5(1+5)+2=0.5(6)+2=3+2=5\\a_3=0.5(3+5)+2=0.5(8)+2=4+2=6\ne-1[/tex]   NOT

D.

[tex]a_1=-1[/tex]   NOT

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