find missing term series
18,8,27,16,45,24,?,32,108
Answers
Step-by-step explanation:
find missing term series
18,8,27,16,45,24,?,32,108
Given:
A series of numbers 18,8,27,16,45,24,?,32,108
To Find:
The missing 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 18,8,27,16,45,24,?,32,108
2. The third term in the series is obtained as,
=> Third term = first term + 9 = 18 + 9 = 27.
3. The fourth term of the series is obtained as,
=> Fourth term = second term + 8 = 8 + 8 = 16,
4. The fifth term of the series is obtained as,
=> Fifth term = third term + 9 + 9 = 27 + 18 = 45,
5. The sixth term of the series is obtained as,
=> sixth term = fourth term + 8 = 13.12,
6. The seventh term of the series is obtained as,
=> Seventh term = Missing term = Fifth term + 9 + 9 + 9 = 45 + 27 = 72,
7. The eighth term of the series is obtained as,
=> Eighth term = Sixth term + 8 = 24 + 8 = 32,
8. The ninth term of the series is obtained as,
=> Ninth term = Seventh term + 9 + 9 + 9 + 9 = 72 + 36 = 108.
Therefore, the missing term in the series is 72.