Junior Division
... Question 26 is 6 marks, question 27 is 7 marks, question 28 is 8 marks, question 29 is 9 marks and question 30 is 10 marks. 26. Consider a sequence of letters where each letter is A or B. We call the sequence stable if, when we tally the number of As and the number of Bs in the sequence, working fro ...
... Question 26 is 6 marks, question 27 is 7 marks, question 28 is 8 marks, question 29 is 9 marks and question 30 is 10 marks. 26. Consider a sequence of letters where each letter is A or B. We call the sequence stable if, when we tally the number of As and the number of Bs in the sequence, working fro ...
Grade 7/8 Math Circles Series Sequence Recap
... 60 seats. If the seat follow an arithmetic sequence: (a) What is the common difference? (b) How many seats are there in this theater? (c) * Some strange accident happens and every 3rd row is now unavailable. That is rows 1,2,4,5,7,8,... are available but 3,6,9,... are not. How many people can the ...
... 60 seats. If the seat follow an arithmetic sequence: (a) What is the common difference? (b) How many seats are there in this theater? (c) * Some strange accident happens and every 3rd row is now unavailable. That is rows 1,2,4,5,7,8,... are available but 3,6,9,... are not. How many people can the ...
Chapter 3
... * You might find the programs and the end of this chapter to be interesting. The FUNDAMENTAL THEOREM OF ARITHMETIC states that every integer can be factored in a unique way into a product of powers of primes. Exercise. Use paper and pencil, aided by the TI-86 if necessary, to write each of the follo ...
... * You might find the programs and the end of this chapter to be interesting. The FUNDAMENTAL THEOREM OF ARITHMETIC states that every integer can be factored in a unique way into a product of powers of primes. Exercise. Use paper and pencil, aided by the TI-86 if necessary, to write each of the follo ...
Cardinality Lecture Notes
... This is clearly an equivalence relation on sets (Exercise: prove it!). Thus there is a partition generated by this equivalence relation. Assign to each equivalence class a number called a cardinal number. By this definition, two sets have the same cardinal number if there is a bijection between them ...
... This is clearly an equivalence relation on sets (Exercise: prove it!). Thus there is a partition generated by this equivalence relation. Assign to each equivalence class a number called a cardinal number. By this definition, two sets have the same cardinal number if there is a bijection between them ...
