The formula for an arithmetic series can be used to find a general method to convert Sn to Tn in Sequence.

In this session, basic concepts of Sequence and series, introduction and formulas for arithmetic progression like Common Difference, Finite and infinite are explained.

A sequence of numbers is obtained by adding a fixed number to the preceding term except the first term.

A list of numbers.......If the differences are X2-X1, X3-X2, X4-X3....The same value is given.

There is a general form of an A.P......The common difference is "d" and "a"

Common difference is the difference between two terms.The difference value can be either positive or negative.

In the above examples, no.There are finite number of terms for 1 and 2.It is called finite A.P.In the same way.There are infinite number of terms for 3 and 4.They are called infinite arithmetic progressions.

Let a+d, a+2d and a+3d.........There is a common difference between the first term a and the second term d.

2Sn is a combination of 2a and n-1 d...........+ [ 2a + ( n-1) d ]

If there is a +d, a +2d and a+3d......It is reversed to m, m-d, and m-2d....The common difference is negative and the reversed sequence is A.P.

3.The number of terms is the sum of the first two terms and the last two.

4.The difference of the sum to first and second terms is called the nth term.

5.If r1, r2, r3 and r4.....The sum of the terms equidistant from the beginning and the end is the same as the first and last term.

The page explains the formulas of Arithmetic Mean, Geometric Mean and Harmonic Mean.There is a relationship between Arithmetic, Geometric and...

We learn about the formula for the sum of terms and properties in this article.The mean formula...

Geometric progression problems with solution for the nth term of GP can be found in this page.

The properties of geometric progression were explained in this session.