In base 3, the counting numbers are represented using the digits 0, 1, and 2. The first 15 counting numbers in base 3 are: 0, 1, 2, 10, 11, 12, 20, 21, 22, 100, 101, 102, 110, 111, and 112. Each place value increases by powers of 3, similar to how place values increase by powers of 10 in the decimal system.
Chat with our AI personalities
Given that counting numbers are non-zero positive integers:
1, 2, 10, 11, 12, etc....
Youll need to work out what to do after 223, but use the decimal (base 10) system as your model. Remember that the actual base (in this case, 3) *does not* appear as a numeral.
They are 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15 and 16.
1+1+1+1+1+=5 * * * * * The question did not ask for the sum of the first counting number five times! The sum of the first 5 counting numbers is 1+2+3+4+5 = 15. Such sums are known as triangular numbers.
1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 14, 15, 16, 20, 21...
001, 002, 003, 004, 005, 010, 011, 012, 013, 014, 015, 020, 021, 022 and 023.
Triangle numbers or triangular numbers are those numbers that can form an equilateral triangle when counting the objects. The first five triangular numbers are: 1, 3, 6, 10, 15.