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.)

Real number, if HCFof 657 and 963 is expressable in the form of 657x+963x-1...

if HCFof 657 and 963 is expressable in the form of 657x+963x-15findx

Calculus, I need help with my calculus

I need help with my calculus

Interpretations of the derivative , Interpretations of the Derivative : ...

Interpretations of the Derivative : Before moving on to the section where we study how to calculate derivatives by ignoring the limits we were evaluating in the earlier secti

Callie grandmother pledged $0.50 for each mile callie walked, Callie's gran...

Callie's grandmother pledged $0.50 for each mile Callie walked in her walk-a-thon. Callie walked 9 miles. How much does her grandmother owe? Multiply the number of miles (9) th

Function of a function, Function of a Function Suppose ...

Function of a Function Suppose y is a function of z,            y = f(z) and z is a function of x,            z = g(x)

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

Mashed patatos, I have 6 cups of patatos that I have to share with 13 frien...

I have 6 cups of patatos that I have to share with 13 friends write that as the nearest hundredth

Project, report on shares and dividend using newspaper

report on shares and dividend using newspaper

Pricing styrategies, #questiThe net profit in an appliance department for t...

#questiThe net profit in an appliance department for the spring /sumeer was $20,000 which represented 2% of net sales. Operating expenses total $480,000 find dollar amount of gross

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