Mammoth Memory

Sequence and recognising patterns simple nth term

There are certain sequences or patterns you should know the nth term of.

 

Even numbers 2, 4, 6, 8, 10, 12................nth  term=2n 

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

 

Odd numbers 1, 3, 5, 7, 9, 11 ................. nth  term=2n-1

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

 

Square numbers 1, 4, 9, 16, 25, 36 ..........(..................................) nth  term=n2

To learn this, see section - Quadratics and sequences.

 

Cube numbers and sequence.

1 8 27 64 125 .......nth  term=n3
  (2×2×2) (3×3×3) (4×4×4) (5×5×5)  

 

Triangular numbers 1, 3, 6, 10, 15 ........ nth  term=12n(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.)