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.)