Understanding the Series
The given series is: 3, 4, 7, 8, 11, 12.
To determine the next number, let's analyze the pattern:
Identifying the Pattern
- The series alternates between two sequences.
- The first sequence (odd indexed): 3, 7, 11
- The second sequence (even indexed): 4, 8, 12
Analyzing the Odd Indexed Sequence
- The first sequence increases by 4:
- 3 + 4 = 7
- 7 + 4 = 11
- The next number in this sequence would be:
- 11 + 4 = 15
Analyzing the Even Indexed Sequence
- The second sequence also increases by 4:
- 4 + 4 = 8
- 8 + 4 = 12
- The next number in this sequence would be:
- 12 + 4 = 16
Finding the Next Number
- The next number in the series will come from the odd indexed sequence, as the last number (12) is from the even indexed sequence.
- Therefore, the next number is 15.
Conclusion
- The next number in the series 3, 4, 7, 8, 11, 12 is 15.
This pattern demonstrates a simple rule of alternating increases by 4 in two distinct sequences.