Mathematics

Question

Given the sequence 8, 16, 32, 64, ..., which expression would give the thirteenth term?

1 Answer

  • 8, 16, 32, 64,…
     ×2  ×2  ×2

    [tex]a_{n} = a_{1} * r^{n - 1}[/tex]
    [tex]a_{n} = 8 * 2^{13 - 1}[/tex]
    [tex]a_{n} = 8 * 2^{12}[/tex]
    [tex]a_{n} = 8 * 4096[/tex]
    [tex]a_{n} = 32768[/tex]

               First Term: 8
          Second Term: 16
              Third Term: 32
            Fourth Term: 64
               Fifth Term: 128
              Sixth Term: 256
         Seventh Term: 512
           Eighth Term: 1024
             Ninth Term: 2048
            Tenth Term: 4096
       Eleventh Term: 8192
         Twelfth Term: 16384
    Thirteenth Term: 32768

    [tex]The\ expression\ that\ would\ give\ the\ thirteenth\ term\ of\ the\ problem\ would\ be\ the\ equation\ of\ the\ geometric\ sequence,\ which\ is\ equal\ to\ a_{n} = a_{1} * r^{n - 1}.[/tex]

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