Question

12,16,41,139,581,............next series??​

Answer 1

The next number is 2941.

Step-by-step explanation:

Given: 12, 16, 41, 139, 581, ?

Find: The next number in the series.

Solution:

12 * 1 + 2^2 = 16

16 * 2 + 3^2 = 41

41 * 3 + 4^2 = 139

139 * 4 + 5^2 = 581

581 * 5 + 6^2 = 2941

So the next number is 2941.

The pattern is, *1 + 2^2 , *2 + 3^2,  *3 + 4^2, *4 + 5^2, *5 + 6^2.....

Answer 2

COMPLETE THE SERIES

Given series :-

12, 16, 41, 139, 581, _________.

Solution :-

To find the missing number in order to complete the series, we need to first understand the logic behind the series.

Let us have a look at the series deeply in order to find the logic :-

• 1st Term - 12

• 2nd Term - 12*1 + 2² = 12 + 4 = 16

• 3rd Term - 16*2 + 3² = 32 + 9 = 41

• 4th Term - 41*3 + 4² = 123 + 16 = 139

• 5th Term - 139*4 + 5² = 556 + 25 = 581

• 6th Term - 581*5 + 6² = 2905 + 36 = 2941

● So, the missing term or the 6th term is 2941.