Question

The sum of first three terms of a Geometric Progression is 13/12 and their product is-1.

Find Geometric Progression GP. ​

Answer 1

Answer:

Solution

Verified by Toppr

Let the terms of the G.P. be ra,a,ar. 

It is given that 

ra+a+ar=1213 and ra×a×ar=−1

⇒a(rr2+r+1)=1213 and a3=−1

⇒a=−1 and a(r2+r+1)=1213r

⇒r2+r+1=−1213r

⇒12r2+25r+12=0

 

⇒12r2+16r+9r+12=0⇒(3r+4)(4r+3)=0⇒r=−34 or −43

Hence,three numbers are