find missing term 3,8,27,_, 987
Answers
refer to attachment
Given:
A series of numbers 3, 8, 27, __, 987.
To Find:
The missing number in the series is?
Solution:
The given problem can be solved by developing a common logic between every term.
1. The given series is 3, 8, 27, __, 987.
2. The second term in the series is obtained as,
=> Second term = 3 x 2 + 2 = 8,
4. The third term of the series is obtained as,
=>Third term = 8 x 3 + 3 = 27,
5. The fourth term of the series can be obtained using the same logic,
=>Fourth term = Missing number = 27 x 5 + 5= 140.
6. Verify the logic for the fifth term,
=> Fifth term = 140 x 7 + 7 = 987. ( 2, 3, 5, and 7 are prime numbers ).
7. Hence the missing number is 140 and it satisfies the logic used for every term.
Therefore, the missing number in the series is 987.