Mammoth Memory

Sequence and recognising patterns simple `n^(th)` term

There are certain sequences or patterns you should know the `n^(th)` term of.

 

Even numbers 2, 4, 6, 8, 10, 12................`n^(th)\ \ term=2n` 

To learn this section - go to "Sequence pattern 1"

 

Odd numbers 1, 3, 5, 7, 9, 11 ................. `n^(th)\ \ term=2n-1`

To learn this section - go to "Sequence pattern 1"

 

Square numbers 1, 4, 9, 16, 25, 36 ..........(..................................) `n^(th)\ \ term=n^2`

To learn this, see section - Quadratics and sequences.

 

Cube numbers and sequence.

`1` `8` `27` `64` `125` .......`n^(th)\ \ term=n^3`
  `(2xx2xx2)` `(3xx3xx3)` `(4xx4xx4)` `(5xx5xx5)`  

 

Triangular numbers 1, 3, 6, 10, 15 ........ `n^(th)\ \ term=1/2n(n+1)`

To learn this section, see triangles & sequences.

 

Prime numbers 2, 3, 5, 7, 11, 13  No known formula.

 

Fibonacci numbers 1, 1, 2, 3, 5, 8, 13 Add the two numbers before it.

(there is a formula but way above this level.)

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