Question #32169

find the next two numbers -3, 9, -27, 81

Expert's answer

Task. Find the next two numbers -3, 9, -27, 81

Solution. First we should find the law for these numbers.

Notice that

93=279=8127=3.\frac{9}{-3}=\frac{-27}{9}=\frac{81}{-27}=-3.

In other words each number is obtained by multiplication of the previous number by 3-3. Therefore the next two numbers are

81(3)=24381*(-3)=-243

and

243(3)=729.-243*(-3)=729.

Answer. 243-243, 729729.


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