Question

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

Answer 1

8, 16, 32, 64,…
 ×2  ×2  ×2

$a_{n} = a_{1} * r^{n - 1}$
$a_{n} = 8 * 2^{13 - 1}$
$a_{n} = 8 * 2^{12}$
$a_{n} = 8 * 4096$
$a_{n} = 32768$

           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

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

Answer 2

The only options are

8^13

8•2^13

8•2^12