Geometric progression (g.p.), Mathematics

Assignment Help:

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


Related Discussions:- Geometric progression (g.p.)

Some simple equation, divide 50 into two parts such that if 6 is subtracted...

divide 50 into two parts such that if 6 is subtracted from one part and 12 is added to the second part,we get the same number?

Give the introduction to amino acid and nucleotide metabolis, Give the Intr...

Give the Introduction to amino ACID and nucleotide metabolism ? Here, we studied about the chemistry of proteins and amino acids. We studied that the amino acids are used for p

Opt math, howwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww...

howwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

Sketch the feasible region, Sketch the feasible region for the following se...

Sketch the feasible region for the following set of constraints: 3y - 2x  ≥ 0 y + 8x  ≤  53 y - 2x  ≤  2 x  ≥ 3. Then find the maximum and minimum values of the objective

gauss elimination method , Question: Use  Gauss elimination method to ...

Question: Use  Gauss elimination method to solve the following system of equations.  -y +3z=4  2x-y-2z= 2  2x-2y+z =6  4x-y-7z= 0

Calculus, I need help with my calculus work

I need help with my calculus work

Integration variable, Integration variable : The next topic which we have ...

Integration variable : The next topic which we have to discuss here is the integration variable utilized in the integral. In fact there isn't actually a lot to discuss here other

Calculate the instantaneous rate of change of the volume, Assume that the a...

Assume that the amount of air in a balloon after t hours is specified by                                             V (t ) = t 3 - 6t 2 + 35 Calculate the instantaneous

Algegra, what''s the main purpose of algebra in our daily life

what''s the main purpose of algebra in our daily life

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd