Question

What is the next number in this series?
6, 22, 246, ?
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Answer 1

Given:

The series 6, 22, 246, ?

To find:

What is the next number in this series?

6, 22, 246, ?

Solution:

From given, we have,

The series 6, 22, 246, ?

Square of 6 is 6² = 36.

Half of 36 is 36/2 = 18.

If we add 4 to 18, we shall get 18 + 4 = 22.

Square of 22 is 22² = 484.

Half of 484 is 424/2 = 242.

If we add 4 to 242, we shall get 242 + 4 = 246.

Similarly, we have,

Square of 246 is 246² = 60,516.

Half of 60,516 is 60516/2 = 30,258.

If we add 4 to 30,258, we get 30258 + 4 = 30,262.

Therefore, the next term of the series is 30,262.