What would be the next number in the following series?
1,5,4,16,14,42..?
Answers
Given:
A series of numbers 1, 5, 4, 16, 14, 42.
To Find:
The next term in the series is?
Solution:
The given problem can be solved by developing a common logic between every term.
1. The given series is 1, 5, 4, 16, 14, 42.
2. The second term in the series is obtained as,
=> Second term = 5 = 1 x 5, ( First term x 5 )
3. The third term of the series is obtained as,
=>Third term = 4 = 5 - 1, ( Second term - 1 )
4. The fourth term of the series is obtained as,
=>Fourth term = 16 = 4 x 4, ( Third term x 4 )
5. The fifth term of the series is obtained as,
=>Fifth term = 14 = 16 - 2, ( Fourth term - 2 )
6. The sixth term of the series is obtained as,
=>Sixth term = Fifth term x 3 = 14 x 3 = 42, ( Fifth term x 3 )
=> A similar pattern can be observed between the odd and even terms respectively.
7. The seventh term of the series can be obtained using similar logic,
=> Seventh term = Sixth term - 3 = 42 - 3 = 39.
Therefore, the next number in the series is 39.