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Given the sequence $4 ; x ; 32$

Determine the value(s)of x if the sequence is:

  1. Arithmetic
  2. Geometric
in Mathematics by Diamond (81,060 points) | 197 views

1 Answer

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Best answer
Arithmetic Progression -  applying common difference,

$x-4=32-x$

$2x=32+4$

   $2x=36$

   $x= 18$

Geometric Progression - apply common ratio,

$\dfrac{x}{4} = \dfrac{32}{x}$

$x^2 =128$

 $x = \pm \sqrt{128}$
by Diamond (44,170 points)
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