What is the next number in the sequence? (4, 11, 25, 53, 109, ?)
Answers
Step-by-step explanation:
Given :-
- (4, 11, 25, 53, 109, ?)
To Find :-
- What is the next number in the sequence?
Solution :-
4×2+3=11
11×2+3=25
25×2+3=53
53×2+3=109
109×2+3=221
Hence the next number in the sequence is 221.
Given:
A series of numbers 4, 11, 25, 53, 109,?
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 4, 11, 25, 53, 109, ?.
2. The second term in the series is obtained as,
=> Second term = 11 = 4 + 7 x 1,
3. The third term of the series is obtained as,
=>Third term = 25 = 11 + 7 x 2,
4. The fourth term of the series is obtained as,
=>Fourth term = 53 = 25 + 7 x 4,
5. The fifth term of the series is obtained as,
=>Fifth term = 109 = 53 + 7 x 8,
6. The sixth term of the series can be obtained using similar logic,
=> Seventh term = 109 + 7 x 16,
=> Seventh term = 109 + 112,
=> Seventh term = 221.
Therefore, the next number in the series is 221.