Question

5040, 840, 168,42,14,​

Answer 1

The next term in the series will be 7.

Step-by-step explanation:

5040,840,168,42,14,7

Here the numbers are such that,5040=840×6

                                                      840=168×5

                                                      168=42×4

                                                      42=14×3

                                                       14=7 ×2

So,the next term in the series will be 7.  

Answer 2

The next number in the series is 7

Logic Behind:

5040 ÷ 840 = 6

840 ÷ 168 = 5

168 ÷ 42 = 4

42 ÷ 14 = 3

Let's consider the required number as x

According to the series formation;

14:x =2

14:2=x

7=x

Therefore; "7" is the required number.