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.)

Determine how much more time it will take to reach the base, A man on a top...

A man on a top of a tower observes a truck at an angle of depression α where tanα = 1/√5 and sees that it is moving  towards the base of the tower. Ten minutes later, the angle of

Tests for relative minimum, Tests for relative minimum For a relative ...

Tests for relative minimum For a relative minimum point there are two tests: i.The first derivative, which is (dy)/(dx)  = f´(x) = 0 ii.The second derivative, which i

Rounding, the number is 605176 the underline digit is 0

the number is 605176 the underline digit is 0

Ratios, a muffin recipe calls for three forth of a cup of sugar and one eig...

a muffin recipe calls for three forth of a cup of sugar and one eight of a cup of butter. travis accidentally put in one whole cup of butter. how much sugar does travis need to put

Unionz, Need a problem solved

Need a problem solved

Real numbers on every line, Make a file called "testtan.dat" which has 2 li...

Make a file called "testtan.dat" which has 2 lines, with 3 real numbers on every line (some negative, some positive, in the range from-1 to 3).  The file can be formed from the edi

Prime Ideals, Given a standard 2x3 matrix show the ideal formed by the 2x2 ...

Given a standard 2x3 matrix show the ideal formed by the 2x2 minors is Prime.

Unit rates with fractions, a math problem that involves the numbers $112 fo...

a math problem that involves the numbers $112 for 8 hours

Finding absolute extrema of f(x) on [a, Finding Absolute Extrema of f(x) on...

Finding Absolute Extrema of f(x) on [a,b] 0.   Confirm that the function is continuous on the interval [a,b]. 1.  Determine all critical points of f(x) which are in the inte

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