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  • 30-03-2022
  • Mathematics
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Write the term to term rule, position-to-term (nth term) and 20thterm of the sequence 3, -1 ,-5, -9, -13 ,....​

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Аноним Аноним
  • 30-03-2022

It's a arithmetic sequence

  • First term=a=3
  • common difference=d=-1-3=-4

Nth term rule:-

[tex]\\ \rm\Rrightarrow a_n=a+(n-1)d[/tex]

[tex]\\ \rm\Rrightarrow a_n=3+(n-1)-4[/tex]

[tex]\\ \rm\Rrightarrow a_n=3-4n+4[/tex]

[tex]\\ \rm\Rrightarrow a_n=7-4n[/tex]

20th term

[tex]\\ \rm\Rrightarrow a_{20}=7-80=-73[/tex]

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