Question

A nice number series....
81,192,375,_,1029
I know the answer but asking this question as it can help many of you....Nice LOGIC!!....Please try...You can ask me if having some problem in logic :-)

Answer 1

i think answer is ... 648... 81 is formed by 9^2 - 0^2 .... 192 by 14^2 - 2^2 .... 375 by 20^2 - 5^2 ... so next is going to be 27^2 - 9^2.... i guess.

Answer 2

The value of missing number is "648".

Step-by-step explanation:

The given number series are:

81, 192, 375, _____ ,1029

To find, the value of missing number (?) = ?

The pattern follow:

$3^{3} \times 3,4^{3} \times 3,5^{3} \times 3,6^{3} \times 3, ....$

$81=3^{3} \times 3=27\times 3=81$

$192=4^{3} \times 3=64\times 3=192$

$375=5^{3} \times 3=125\times 3=375$

Similarly,

$? =6^{3} \times 3=216\times 3=648$

Thus, the value of missing number is "648".