Can you find all FIVE?

Algebra Level 3

A B C D E \huge \mathcal A \quad \mathcal B \quad \mathcal C \quad \mathcal D \quad \mathcal E Five distinct 2-digit positive numbers are in a Geometric Progression . Find the middle term ?


The answer is 36.

Ravneet Singh by Ravneet Singh , 30, India

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1 solution

Genis Dude
Aug 30, 2017

Let the numbers be a , a r , a r 2 a r 3 , a r 4 a, ar ,ar^2ar^3,ar^4

since all are 2 digit number r = 2 3 o r 3 2 r = \frac {2}{3} or \frac{3}{2} (as fourth power of integers (greater than 3) are 3 digit numbers)

Hence the five numbers are (16, 24, 36, 54, 81) Hence middle term is 36.

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genis dude - 3 years, 9 months ago

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