ZorinaS769262 ZorinaS769262
  • 03-11-2022
  • Mathematics
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For the sequence: a_n=20/n+1its first term is: its second term is: its third term is: its fourth term is: its 100th term is:

For the sequence an20n1its first term is its second term is its third term is its fourth term is its 100th term is class=

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MathiewE112154 MathiewE112154
  • 03-11-2022

The n-term of the sequence is

[tex]a_n=\frac{20}{n+1}[/tex]

If we want the first term, we do n = 1, then

[tex]\begin{gathered} a_1=\frac{20}{1+1}=\frac{20}{2}=10 \\ \end{gathered}[/tex]

The second term will be n = 2

[tex]a_2=\frac{20}{2+1}=\frac{20}{3}[/tex]

The third term

[tex]a_3=\frac{20}{3+1}=\frac{20}{4}=5[/tex]

The fourth term

[tex]a_4=\frac{20}{4+1}=\frac{20}{5}=4[/tex]

And the 100th term

[tex]a_{100}=\frac{20}{100+1}=\frac{20}{101}[/tex]

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