Question

2,12,30,56,130,? What is next number to the above series

Answer 1

Answer:

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Answer 2

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 consecutive 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.