Make-It-Easy Notes - Additional Mathematics

Scroll down to download Make-It-Easy Note For an example of a function, let  X  be the  set  consisting of four shapes: a red triangle, a yellow rectangle, a green hexagon, and a red square; and let  Y  be the set consisting of five colors: red, blue, green, pink, and yellow. Linking each shape to its color is a function from  X  to  Y : each shape is linked to a color (i.e., an element in  Y ), and each shape is "linked", or "mapped", to exactly one color. There is no shape that lacks a color and no shape that has more than one color. This function will be referred to as the "color-of-the-shape function". The input to a function is called the  argument  and the output is called the  value . The set of all permitted inputs to a given function is called the  domain  of the function, while the set of permissible outputs is called the  codomain . Thus, the domain of the "color-of-the-shape function" is the...

In  mathematics , an  arithmetic progression  (AP) or  arithmetic sequence  is a  sequence  of  numbers  such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with  common difference  of 2. If the initial term of an arithmetic progression is  {\displaystyle a_{1}}  and the common difference of successive members is  d , then the  n th term of the sequence ( {\displaystyle a_{n}} ) is given by: {\displaystyle \ a_{n}=a_{1}+(n-1)d} , and in general {\displaystyle \ a_{n}=a_{m}+(n-m)d} . A finite portion of an arithmetic progression is called a  finite arithmetic progression  and sometimes just called an arithmetic progression. The  sum  of a finite arithmetic progression is called an  arithmetic series . The behavior of the arithmetic progression depends on the common difference ...