The sum of the three terms of G.P. is 214 and their product is 1 then the common ratio is ___

Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

The sum of the three terms of G.P. is $\frac{21}{4}$ and their product is 1 then the common ratio is ____.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Sum of three terms is:

That is,

---(1)
Now, substitute

in equation (1)

Multiply by r on both sides, we get:

Now, multiply by 4 on both sides, we get:

Taking common

we get:

Here, using zero product property, we get:

Hence, Option (3) is the correct answer.

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE