In the following question, select the missing number from the given series.

 

178, 172, 166, 160, ?, 148

 

The given series follows a pattern of +19, x19, +17, x17, +15, x15,...

Here the number which is to be replaced in ? is

41310+15=41325.

The pattern in the given series is +4, +9, +16, +25, ... i.e. 22,32,42,52...

The next number is 284+25 = 309.

The first letter moves three steps forward. The second letter moves two steps forward. The third letter moves three steps forward.

The letters move 2, 2, 3, 3, 4, 4, ... steps forward.

The pattern is x1+3, x 2, x1+3, x 3, x1+3, x 4

The next number=60x4=240

The pattern is 2x32=64, 3x24=72, 4x19=76

The next number = 5x15.6=78

In the given series, 

 2nd term = 1st term + 12= 4 +1 = 5  

3rd term = 2nd term + 22 =5+4= 9  

4th term = 3rd term + 32 =9+9=18  

5th term = 4th term + 42 = 18+16=34 

Therefore, odd term is 32

Here 2nd number = (1st number x 1 )+1

 3rd number = (2nd number x 2 +2) 

4th number = (3rd number x 3 )+3 and so on..

Therefore, 5th number = (4th number x 4) +4 =57 x 4 + 4 =232.