math arithmetic series

A series of the form a + (a + d)r + (a + 2d)r 2 + ... is called an Arithmetic-Geometric series. In the series if we put we get GP and if we put r = 1, we get an AP. To find the sum to the series Subtracting (ii) from (i), we g..

Arithmetic Geometric Series - A series of the form a + (a + d)r + (a + 2d)r 2 + ... is called an Arithmetic-Geometric series. In the series if we put we get GP and if we put r = 1, we get an AP. To find the sum to the series Subt..

Let a=first term, d = common difference, l=t n =last term, s = required sum. Then, Writing the series in the reverse order, Adding together the two series, ..

) A sequence may be described by giving a formula for its n t h term. (iii) A sequence may be described by specifying its first few terms and a formula to determine the other terms of the sequence in terms of its proceeding terms. A sequence is said to be a progression if its terms numerically incr..

Quantities are said to be in Arithmetic progression when they increase or decrease by a common differenc..

General Series - 1. To find the sum of first n natural numbers. ..

1. To find the sum of first n natural numbers. 2. To find the sum to squares of first n natural numbers. 3. To find the sum to the cubes of first n natural numbers. 4. Method of finding sum of a series whose nth term is know..

Introduction - A set of numbers arranged in a definite order according to some definite rule is called a sequenc..

If a, x, b are in A.P, then x is called the arithmetic mean (A.M.) between the extremes a and ..

Arithmetic Progression (or simply A.P.) - Quantities are said to be in Arithmetic progression when they increase or decrease by a common differen..