5,9,18,43,92,213,382,?
Answers
Answer:
Each number is added woth the square of infractional number.such as 2 3 5 7 11 13 17 so next number will be
382+17x17=671 .
Given:
A series of numbers 5,9,18,43,92,213,382,?
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 5,9,18,43,92,213,382,?.
2. The second term in the series is obtained as,
=> Second term = 5 + 2² = 9,
3. The third term of the series is obtained as,
=>Third term = 9 + 3² = 18, ( next prime number after 2 is 3 )
4. The fourth term of the series is obtained as,
=>Fourth term = 18 + 5² = 43, ( next prime number after 3 is 5 )
5. The fifth term of the series is obtained as,
=>Fifth term = 43 + 7² = 92, ( next prime number after 5 is 7 )
6. The sixth term of the series is obtained as,
=>Sixth term = 92 + 11² = 213, ( next prime number after 7 is 11 )
7. The seventh term of the series is obtained as,
=> Seventh term = 213 + 13² = 382, ( next prime number after 11 is 13 )
8. The next term of the series can be obtained using the same logic,
=> Eighth term = 382 + 17² = 382 + 289 = 671. ( next prime number after 13 is 17 ).
Therefore, the next term in the series is 671.