What is the next number in the following series :

5, 20, 24, 6, 2, 8, ?

(In reply to

Answer by K Sengupta)

The given sequence is constituted by respectively multiplying 4, adding 4, dividing 4 and subtracting 4 to a given term to obtain the next term, and threafter repeating the operations .

Thus,

First term = 5

Second term = 5*4=20

Third term = 20+4 = 24

Fourth term = 24/4= 6

Fifth term = 6-4= 2

Sixth term = 2*4=8

Seventh term = 8+4 = 12

Consequently, the next term (seventh term) of the given sequence must be 12.