alexprice1080 alexprice1080
  • 07-04-2022
  • Mathematics
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Which answer is the explicit rule for the sequence 11, 8.5, 6, 3.5, 1

Which answer is the explicit rule for the sequence 11 85 6 35 1 class=

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Smartboy2000
Smartboy2000 Smartboy2000
  • 07-04-2022

I think it's an= 13.5 - 2.5n

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palazzolorachel palazzolorachel
  • 07-04-2022

Answer:

[tex]a_n=13.5-2.5n[/tex]

Step-by-step explanation:

[tex]11,\ 8.5,\ 6,\ 3.5,\ 1...[/tex]

[tex]So\ d=8.5-11=b-8.5=3.5-6=1-3.5[/tex]

       [tex]=-2.5[/tex]

[tex]And\ a_1=\parallel \left\{Anithmetic\ \left.\ sequence\right\}\right.[/tex]

[tex]so\ a_n=a_1+d(n-1)[/tex]
         [tex]=11-2.5(n-1)[/tex]
         [tex]=13.5-2.5n[/tex]

[tex]The\ answer:a_n=13.5-2.5n[/tex]

I hope this helps you

:)

       

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