SUMMARY
The sequence 1,2,3,4,5,8,7,16,9 follows a specific rule where odd numbers remain unchanged while even numbers are replaced by their corresponding powers of 2. For example, 2 is replaced by 21, 4 by 22, and 8 by 24. The next six terms in the sequence are 32, 11, 64, 13, 128, and 15, continuing this established pattern. This logic provides a clear method for generating further terms in the sequence.
PREREQUISITES
- Understanding of sequences and series
- Familiarity with powers of numbers
- Basic knowledge of odd and even integers
- Ability to identify patterns in numerical data
NEXT STEPS
- Explore mathematical sequences and their properties
- Learn about generating functions in combinatorics
- Investigate other sequence patterns such as Fibonacci or triangular numbers
- Study algorithms for sequence prediction and analysis
USEFUL FOR
Mathematicians, educators, students studying number theory, and anyone interested in pattern recognition within numerical sequences.
