Q. 133.7( 3 Votes )

Find the 4th term from the end of the GP.

Answer :

The given GP is . (1)


The first term in the GP,


The second term in the GP,


The common ratio,r = 3


The last term in the given GP is an = 162.


Second last term in the GP = an-1 = arn-2


Starting from the end, the series forms another GP in the form,


arn-1, arn-2, arn-3….ar3, ar2, ar, a (2)


Common ratio of this GP is .


So,.


So, 4th term of the GP (2),


a4 = ar3


=


Hence, the 4th term from the end of the given GP is 6.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Geometric ProgressionGeometric ProgressionGeometric Progression58 mins
Calculations of Geometrical IsomersCalculations of Geometrical IsomersCalculations of Geometrical Isomers59 mins
Quiz on Geometric progressionQuiz on Geometric progressionQuiz on Geometric progression6 mins
Introduction to Geometrical IsomerismIntroduction to Geometrical IsomerismIntroduction to Geometrical Isomerism57 mins
Geometrical Isomerism  in Cyclic CompoundsGeometrical Isomerism  in Cyclic CompoundsGeometrical Isomerism in Cyclic Compounds49 mins
Practise Test on  Harmonic ProgressionPractise Test on  Harmonic ProgressionPractise Test on Harmonic Progression37 mins
All formulas of Harmonic ProgressionAll formulas of Harmonic ProgressionAll formulas of Harmonic ProgressionFREE Class
Different Categories of Geometrical IsomerismDifferent Categories of Geometrical IsomerismDifferent Categories of Geometrical Isomerism48 mins
General Term of Miscellaneous progressionGeneral Term of Miscellaneous progressionGeneral Term of Miscellaneous progression46 mins
Arithmetic progression | Understanding the basicsArithmetic progression | Understanding the basicsArithmetic progression | Understanding the basics45 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses