# If <img wid

Let the first term be a and the common ratio be R.

According to the question,

ap = x.

aq = t

ar = z.

We know that an = aRn-1

ap = aRp-1= x

aq = aRq-1= y

ar = aRr-1= z

xq-r = (aRp-1)q-r

yr-p = (aRq-1)r-p

zp-q = (aRr-1)p-q

Multiplying the above three equations we get

xq-r.yr-p.zp-q = (aq-r.Rpq-pr-q+r). (ar-p.Rrq-pq-r+p). (ap-q.Rpr-qr-p+q)

=(aq-r+r-p+p-q.Rpq-pr-q+r+rq-pq-r+p+pr-qr-p+q)

= (a0.R0)

= 1.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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 view all courses RELATED QUESTIONS :

The product of thRD Sharma - Mathematics

Express <imRS Aggarwal - Mathematics

If a, b, c are inRS Aggarwal - Mathematics

Express <imRS Aggarwal - Mathematics

Prove that RS Aggarwal - Mathematics

If a, b, c are inRS Aggarwal - Mathematics

The sum of n termRS Aggarwal - Mathematics

If a, b, c, d areRS Aggarwal - Mathematics

Evaluate :
</p
RS Aggarwal - Mathematics

The first term ofRS Aggarwal - Mathematics