A sequence consists of only 0 s , only 1 s , or both 0 s and 1 s . Any 0 in the sequence must be one of an odd number of consecutive 0 s . Any 1 in the sequence must be one of an odd number of consecutive 1 s . How many such different ten-term sequences are possible? Note: The only possible 1 -term sequences are 0 and 1 . The only possible 2 -term sequences are 01 and 10. The only possible 3-term sequences are 000, 010, 111, and 101.

Mathematics
Competition
Math League
Exam No:2024 First Round Grade 6 Year:2024 Question No:27

Answer:

110

Knowledge points:

G6 - Algebra - Numerical Patterns & Sequences

Solution:

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