Equitix Equitix
  • 17-09-2019
  • Mathematics
contestada

what is the 100th term for the sequence 1,4,9,16​

Respuesta :

Аноним Аноним
  • 17-09-2019

You can observe that

[tex]a_1=1=1^2[/tex]

[tex]a_2=4=2^2[/tex]

[tex]a_3=9=3^2[/tex]

[tex]a_4=16=4^2[/tex]

So, we can extrapolate the general rule

[tex]a_n=n^2[/tex]

So, the 100th term will be

[tex]a_{100}=100^2=10000[/tex]

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