# Three members GP

The sum of three numbers in GP (geometric progression) is 21 and the sum of their squares is 189. Find the numbers.

Correct result:

a =  3
b =  6
c =  12
a2 =  12
b2 =  6
c2 =  3

#### Solution:

Our quadratic equation calculator calculates it.

${a}_{2}=21\mathrm{/}\left(1+{q}_{2}+{q}_{2}^{2}\right)=21\mathrm{/}\left(1+0.5+0.{5}^{2}\right)=12$

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