Geometric progression (g.p.), Mathematics

Learning geometric progression vis-á-vis arithmetic progression should make it easier. In geometric progression also we denote the first term by 'a' but a  basic difference from A.P. is that instead of common difference we have common ratio 'r'. Like d, r remains constant whenever the ratio of any two consecutive terms is computed. The terms of a G.P. are

                   a, ar, ar2, ar3, ar4, ................, arn - 1  

That is,         T1     =     a

                   T2     =     ar

                   T3     =     ar2

                   :                :
                   :                :

                   Tn     =     arn - 1

This is similar to A.P. We take an example to become more familiar with this.

Example 

It is known that the first term in G.P. is 3 and the common ratio r is 2. Find the first three terms of this series and also the nth term.

We know that the first term is given by

                   T1     = a   = 3

                   T2     = ar   = 3.2     = 6

                   T3     = ar2  = 3.2.2 = 12

The nth term is given by  Tn  = arn-1  = 3(2)n-1

Posted Date: 9/13/2012 4:26:09 AM | Location : United States







Related Discussions:- Geometric progression (g.p.), Assignment Help, Ask Question on Geometric progression (g.p.), Get Answer, Expert's Help, Geometric progression (g.p.) Discussions

Write discussion on Geometric progression (g.p.)
Your posts are moderated
Related Questions
Are you suppose to divide the 1 or subtract

what are your 9 times tables

1. Write down the canonical equations of the line passing through the point A(2,3, 4) and being parallel to the vector q ={5,0,-1}.

mention the characteristic of mathematic

I have an algebra assignment I need help with, you have helped me before.. I need the work shown.


On dividing the polynomial 4x 4 - 5x 3 - 39x 2 - 46x - 2 by the polynomial g(x) the quotient is x 2 - 3x - 5 and the remainder is -5x + 8.Find the polynomial g(x). (Ans:4 x 2 +

Suppose research on three major cell phones companies revealed the following transition matrix for the probability that a person with one cell phone carrier switches to another.

Two tanks initially contain 100 liter liquid each. Their initial concentration are listed in the Figure below. At time zero, the input and output valves are opened simultaneously w

rules for intergers