1. The numbers in this sequence increase by 75 each time. Write in
... Exactly three of the four numbers are multiples of 5 Exactly three of the four numbers are even numbers. All four of the numbers add up to less than 40 Write what the numbers could be. ...
... Exactly three of the four numbers are multiples of 5 Exactly three of the four numbers are even numbers. All four of the numbers add up to less than 40 Write what the numbers could be. ...
2.3 Infinite sets and cardinality
... As well as understanding this example at the informal/intuitive level suggested by the picture above, think about the formula above, and satisfy yourself that it does indeed descibe a bijection between N and Z. If you are convinced that the two questions above (and all others like them) have unique ...
... As well as understanding this example at the informal/intuitive level suggested by the picture above, think about the formula above, and satisfy yourself that it does indeed descibe a bijection between N and Z. If you are convinced that the two questions above (and all others like them) have unique ...
Factors - Wey Valley School
... The multiples of a number are the numbers it divides into exactly (the times table for the number) e.g. the multiples of 4 are 4, 8, 12, 16, 20, 24, …. There are infinite multiples for every number. ...
... The multiples of a number are the numbers it divides into exactly (the times table for the number) e.g. the multiples of 4 are 4, 8, 12, 16, 20, 24, …. There are infinite multiples for every number. ...
solns - CEMC
... What technique did we use for the sum of the first n numbers? We inverted the series and added it up with itself. What if the series doesn’t start at 1? Does this still work? Yes and there is only a slight modification. ...
... What technique did we use for the sum of the first n numbers? We inverted the series and added it up with itself. What if the series doesn’t start at 1? Does this still work? Yes and there is only a slight modification. ...
Surprising Connections between Partitions and Divisors
... Notice that the exponents are the seven partitions of 5 that we saw: 1 + 1 + 1 + 1 + 1, 1 + 1 + 1 + 2, 1 + 1 + 3, 1 + 4, 1 + 2 + 2, 2 + 3, and 5. Thus 5 has seven partitions. This illustrates how the generating function (2) works. Using a computer algebra system, (such as Mathematica), one can use t ...
... Notice that the exponents are the seven partitions of 5 that we saw: 1 + 1 + 1 + 1 + 1, 1 + 1 + 1 + 2, 1 + 1 + 3, 1 + 4, 1 + 2 + 2, 2 + 3, and 5. Thus 5 has seven partitions. This illustrates how the generating function (2) works. Using a computer algebra system, (such as Mathematica), one can use t ...