Numbers Game Help
Help Level 4d
Factorials
Learn to Play the Numbers Game Level Four
n! Factorial Symbol
The factorial symbol for the game, above, multiplies a series of numbers,
starting with the number 1
.
In most mathematical equations factorial is just represented as a
digit followed by an
exclamation point, !
.
However the numbers game wants you to find a digit to represent
n
, in the symbol above.
Select a digit, then select the factorial n! symbol. The digit you select substitutes for n.
For example, assume you select 3
then
the n! symbol.
The factorial of 3
equals 6
because 1 * 2 * 3 = 6
.
Example
Assume the following question displays below the landscape.
Form an expression which evaluates to 2.
To find the correct answer
select 2
, then tap the n!
symbol.
The expression
1 * 2
evaluates to 2
because 1 * 2 = 2
.
Your score increases by forty points.
However other correct expressions might exist in the game.
The factorial symbol provides very rapid increases in value.
For example the factorial of 7
equals 5040
.
Cheat Sheet for Factorial
The domain for the Numbers Game
level four
is {1,2,3,4,5,6,7}
.
The range for factorial
n! follows.
{ 1x1, 1x2, 1x2x3, 1x2x3x4, 1x2x3x4x5, 1x2x3x4x5x6, 1x2x3x4x5x6x7 }
The result equals {1,2,6,24,120,720,5040}
.
Therefore factorial
n! calculates to
one of seven values from the set {1,2,6,24,120,720,5040}
,
in level four of the Numbers Game
.
Help with Sigma Sum a Series
For details regarding summation see Sum a Series.