
Number Sequence Patterns Math Help Game Tips:  The counting numbers 1,2,3,4,... form a sequence called the 'Natural' numbers = N. The Natural numbers can also be called the 'positive Integers'.  The sequence of numbers ...,3,2,1,0,1,2,3,... is called the set of 'Integers' = I.  A 'sequence' is a set of quantities that can be put in the same order as the positive Integers. Each individual member of a sequence is called a 'term'.  The sequence of numbers 0,1,2,3,4,... can be called the 'Whole' number set = W. [Same as N_{0}]  An 'arithmetic' sequence is formed by adding a common difference to each term to get the next term. For example the Natural numbers can be formed by using a common difference of '1'. Another example is the arithmetic sequence 4,6,8,10,... in which the common difference is 'd=2'.  A 'geometric' sequence is formed by multiplying each term by a common ratio to get the next term. For example, the geometric sequence 2,6,18,54,... has the common ratio 'r=3'.  The game can be played using the mouse by itself or using the keyboard by itself.  The score report automatically appears after you have made 10 choices.  The Pattern score is based on your choices only and does not count the snowflake hits.  The Game score is reduced by the number of snowflake hits.  If the game doesn't respond to keyboard input, click inside the game area to reset the game's focus.  Press the  and + keys repeatedly to adjust the game speed.  Refresh/Reload the web page to start over again. 
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