Explanation:

Explanation:

Explanation:

This is an alternating subtraction series; 2 is subtracted twice, then 4 is subtracted once and so on. Therefore, the next two numbers are 34 and 32.

Explanation:

Explanation:

In this series, each number repeats itself then increases by 12, so the next two numbers are 48 and 60 (48+12).

Explanation:

4/2 = 22/2 = 11/2 = 1/2(1/2)/2 = 1/4(1/4)/2 = 1/8 and so on.

Explanation:

Explanation:

Explanation:

Explanation:

12^*3+0, 36^*3+1, 109^*3+2, 329^*3+3, _ ,

Therefore, the next number would be, (329 * 3 +3) =990

Explanation:

The given series consists of consecutive prime numbers in increasing order, so the next number (prime number) would be 31.

Explanation:

Explanation:

In this series, every third number follows a different pattern; it begins with 46 then 10 is added to this number to arrive at the next number (56). The main series begins with 16 then 4 is added to each number to arrive at the next number. So, the next numbers are 36(32+4) and 66 (56+10).

Explanation:

Explanation:

The series consists of squares of consecutive natural numbers in decreasing order, i.e., the numbers 196, 169, 144, _, 100, 81 can be written as 14², 13², 12², 11², 10², 9². So, the missing number is 121.

Explanation:

This is an alternating addition and subtraction series in which 3 is added to each number in the first pattern and 6 is subtracted from each number in the second pattern. Therefore, the next two numbers are 2 (8-6) and 16 (13+3).

Explanation:

Explanation:

This is an alternating addition series that adds 7 then 3 and so on.

Explanation:

The series consists of consecutive composite numbers, so the missing number is 14.

Explanation:

In this series, the difference between the two consecutive numbers is 4, 9, 16, 25, and 37 (2² + 3² + 4² + 5² + 6²). So, after 25 there should be 36, not 37, and after 56 there should be 92 (56+36) not 93.