If a series Each item of is an equal constant , that is, an=a1 (n ∈ N *), then the sequence {an} is a "constant sequence", also called a "constant sequence". A constant sequence, such as: 2,2,2,2,2,2,2 By all means First item Is a, and the tolerance is 0 Arithmetical sequence 。 All constant sequences (except an=0) have the first term a, Common ratio 1 Proportional sequence 。 The essence of constant sequence is zero order arithmetic sequence. General formula of constant sequence: an=a ₁
Sum of the first n terms of constant sequence: Sn=na ₁
The first n product of constant sequence: Tn=a ₁ ^ n
Recursive formula of constant sequence: an=an+₁