The character of generalized distance of equality sequence was discussed and the expression of first order recursive sequence about it was put forward.

Study of quantitative diagnostic method of wind observation data ——utility of arithmetic progression;

A core property of the arithmetic progression is the same difference.

The article approaches the resolution of the sum of preceding N terms among a type of particular sequence,which consists of arithmetic product of arithmetic progression or arithmetic product reciprocal.

The paper presents a further extension of a problem of sum limit from {n] to the arithmetic series {a_n].

If{a n} is arithmetic series with the first term a 1>0 ,and the common difference d>0 and s>0, writing as p n=mk=1(1+sa k), this paper gives a class of inequalities of the upper and lower bound of p n.

A property of finite arithmetic sequences and its application;

The essay obtains a set of more universal inequality by studying several inequality of the power of positive term arithmetic sequence.

Finally,a series of the combinatorial identity are abtained by applying two Vandermonde typed determinant and the property of the arithmetic sequence.

General term and property of generalized Fibonacci sequence;

Generalized Fibonacci sequence and the rank of the matrix;

In this paper,generalized Fibonacci sequence is put forward.