Question

6 , ? , 120 , 350 , 720

Answer 1

Hey Friend ☺

2^3 - 2 = 8 - 2 = 6

3^3 + 3 = 27 + 3 = 30

5^3 - 5 = 125 - 5 = 120

7^3 + 7 = 343 + 7 = 350

9^3 - 9 = 729 - 9 = 720

Hope it helps you ..!!

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Answer 2

The missing number in series 6,  ? , 120, 350, 720 is 30

Solution:

The first term is obtained by cubing the number 2 and subtracting 2 from cubed value to obtain given value 6.  

$2^{3}-2=8-2=6$

The second term is obtained by cubing the number 3 and adding 3 to cubed value to obtain given value 30.

$\bold{3^{3}+3=27+3=30}$

The third term is obtained by cubing the number 5 and subtracting 5 from cubed value to obtain given value 120.

$5^{3}-5=125-5=120$

The fourth term is obtained by cubing the number 7 and adding 7 to cubed value to obtain given value 350.

$7^{3}+7=343+7=350$

The fifth term is obtained by cubing the number 9 and subtracting 9 from cubed value to obtain given value 720.

$9^{3}-9=729-9=720$