Question

12,36,150,392,1452 what will come next in the series

Answer 1

Answer:

2366

Step-by-step explanation:

12 , 36 ,150 , 392 , 1452

12 = 2^2 × 3

36 = 3^2 × 4

150 = 5^2 × 6

392 = 7^2 × 8

1452 = 11^2 × 12

As, you can see clearly that:

In 1st row , all prime numbers are continuously being squared

In 2nd row, the succeeding number ,i.e., the number just after it is used.

So, Next number will be

=13^2 × 14

=169×14

=2366

By the way, great question,.....took me a great deal of time to solve it.

Answer 2

Answer:

Answer is 2366

Step-by-step explanation:

12 = 2³ +2²

36 = 3³+3²

150 = 5³+5²

392 = 7³+7²

1452 = 11³+11²

The pattern is like 2-3-5-7-11-.....

So the next number in the above series will be 13....

So the ans. will be 13³+13² = 2366

HOPE THIS HELPED.....