11,12,15,21,31,46,?
what is the next term that comes in the sequence
Answers
Answer:
Step-by-step explanation:
you have worte the question wrong
Given:
A series of numbers 11,12,15,21,31,46,?
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 11,12,15,21,31,46,?.
2. The second term in the series is obtained as,
=> Second term = 12 = 11 + 1,
3. The third term of the series is obtained as,
=>Third term = 15 = 12 + 1 + 2,
4. The fourth term of the series is obtained as,
=>Fourth term = 21 = 15 + 1 + 2 + 3,
5. The fifth term of the series is obtained as,
=>Fifth term = 31 = 21 + 1 + 2 + 3 + 4,
6. The sixth term of the series is obtained as,
=>Sixth term = 46 = 31 + 1 + 2 + 3 + 4 + 5,
7. The seventh term of the series can be obtained using similar logic,
=> Seventh term = 46 + 1 + 2 + 3 + 4 + 5 + 6,
=> Seventh term = 46 + 21 = 67.
Therefore, the next number in the series is 67.