Question

2,20,110,........,992​

Answer 1

Answer:

Step-by-step explanation:

1^2+1=2

4^2+4=20

10^2+10=110

19^2+19=380

31^2+31=992

Answer 2

The value of missing number is equal to 380.

Step-by-step explanation:

The given sequence:

2, 20, 110, ........, 992​

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

The pattern folow

$1^{2} +1,4^{2} +1,10^{2}+10, 19^{2} +19,31^{2} +31.$

2 = $1^2$+ 1 = 2

20 = $4^2$ + 4 = 20

110 = $10^2$ + 10 = 110

? = 380 = $19^2$ + 19 = 380

992 = $31^2$ + 31 = 992

∴ Missing number (?) = 380

Thus, the value of missing number is equal to 380.