What will come in place of question mark (?) in the following number series?
126, 18, 108, 21.6, 86.4, 28.8,?
Answers
Answer:
57.6
Step-by-step explanation:
Differences are
×1/7,×6,×1/5,×4,×1/3,×2
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Given:
A series of numbers 126, 18, 108, 21.6, 86.4, 28.8.
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 126, 18, 108, 21.6, 86.4, 28.8.
2. The second term in the series is obtained as,
=> Second term = 18 = 126/7, ( First term / 7 )
3. The third term of the series is obtained as,
=>Third term = 108 = 18 x 6, ( Second term x 6 )
4. The fourth term of the series is obtained as,
=>Fourth term = 21.6 = 108/5, ( Third term / 5 )
5. The fifth term of the series is obtained as,
=>Fifth term = 86.4 = 21.6 x 4, ( Fourth term x 4 )
6. The sixth term of the series is obtained as,
=>Sixth term = 28.8 = 86.4/3, ( Fifth term / 3 )
7. The seventh term of the series can be obtained using similar logic,
=> Seventh term = Sixth term x 2 = 28.8 x 2 = 57.6
=> The next number in the series is 57.6
Therefore, the next number in the series is 57.6