An Obvious Progression?

Algebra Level 3

x , x 2 , x 3 \large x, \quad x^2, \quad x^3

Which of the following is the most precise statement regarding the sequence of numbers above?

It can be an arithmetic progression It can be a geometric progression All of the other options It can be a harmonic progression

Pi Han Goh by Pi Han Goh , 30, Malaysia

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1 solution

Viki Zeta
Nov 5, 2016

It can be all of the three. Take x = 1 x=1 .

  • AP : 1 , 1 , 1 1, 1, 1 . a = 1 , d = 0 a=1, d =0
  • GP : 1 , 1 , 1 1, 1, 1 . a = 1 , r = 1 a=1, r=1
  • HP : 1 , 1 , 1 1, 1, 1 . a = 1 , d = 0 a=1, d=0
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