Question

2,12,30,56,130,? what is the answer of the question​

Answer 1

The value of missing number is equal to 182.

Step-by-step explanation:

The complete questions:

2, 12, 30, 56, 90, 132, ? what is the answer of the question​

The given sequence are:

2, 12, 30, 56, 90, 132, ?

To find, the value of missing number = ?

The pattern follow:

$n^{2} +n.$

Where, n is the odd numbers

n = 1, 3, 5, 7, 9, 11,....

$2=1^{2} +1=1+1=2$

$12=3^{2} +3=9+3=12$

$30=5^{2} +5=25+5=30$

$56=7^{2} +7=49+7=56$

$90=9^{2} +9=81+9=90$

$132=11^{2} +11=121+11=132$

Similarly,

$?=13^{2} +13=169+13=182$

The value of missing number = 182

Thus, the value of missing number is equal to 182.