Sequence


A sequence is an arrangement of numbers in a definite order according to some rule. The elements in a sequence are called terms. A sequence is generally written as <an> where a is known as the nth term or general term of the sequence.  a1,a2,a3... are first, second and third terms?., of the sequence.

 

e.g., 1, 3, 5, 7, 9, 11, ?..

we find that

a1 =1  2 × 1 − 1 

a=3  2 × 2 − 1 

a=5  2 × 3 − 1 

a=1  2 × 4 − 1 

and so on.

In general an  2 × n   1 = 2n   1