jeniferjerry
jeniferjerry jeniferjerry
  • 01-08-2020
  • Mathematics
contestada

nth term of this sequence please 18, 16, 14, 12

Respuesta :

09pqr4sT
09pqr4sT 09pqr4sT
  • 01-08-2020

Answer:

[tex]\boxed{\sf -2n+20}[/tex]

Step-by-step explanation:

Let’s find the common difference.

The common difference can be found by subtracting a term in the sequence with the previous term.

[tex]\sf d=16-18\\d=-2[/tex]

Apply formula for the [tex]\sf n^{th}[/tex] term of an arithmetic sequence.

[tex]\sf a_n=a_1+dn-d[/tex]

[tex]\sf a_1[/tex] is the first term of the sequence.

[tex]\sf d[/tex] is the common difference.

[tex]\sf a_n=18+-2n-(-2)[/tex]

[tex]\sf a_n=18+-2n+2[/tex]

[tex]\sf a_n=-2n+20[/tex]

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