7,11,19,35,67.... pls solve it detail
Answers
Bucause the reason is when we double 7 ., it becomes 14 and when we subtract 3 it becomes 11
Just like that 11 is 22 and by subracting 3 it becomes 19
Thus 67 is 134 and by subtracting 3 it becomes 131 ..
HOPE THIS HELPS MATE !
Given:
A series of numbers 7, 11, 19, 35, 67.
To Find:
The next terms in the series and the logic used.
Solution:
The given problem can be solved by developing a common logic between every term.
1. The given series is 7, 11, 19, 35, 67.
2. The second term in the series is obtained as,
=> Second term = 11 = 7 + 2^2. ( First term + 2^2 )
3. The third term of the series is obtained as,
=>Third term = 19 = 11 + 2^3. ( Second term + 2^3 )
4. The fourth term of the series is obtained as,
=>Fourth term = 35 = 19 + 2^4. ( Third term + 2^4 )
5. The fifth term of the series is obtained as,
=>Fifth term = 67 = 35 + 2^5. ( Fourth term + 2^5 )
6. The sixth term of the series can be obtained using similar logic,
=>Sixth term = Fifth term + 2^6 = 131. ( Fifth term + 2^6 )
7. The seventh term of the series can be obtained using similar logic,
=> Seventh term = Sixth term + 2^7 = 259. ( Sixth term + 2^7 ).
8. The common logic used in this series is:
=> nth term = (n-1)th term + 2^n.
Therefore, the next number in the series is 7, 11, 19, 35, 67, 131, 259, and so on.