Question

Find the value of x. In -2/7,x,-7/2 are the consecutive term of a G.P

Answer 1

Given : -2/7,x,-7/2 are in a G.p

Common ratio,r should be same.
I.e
r = 2nd term/ 1st term = 3rd term/2nd term

r = -7x/2 = -7/2x
>>
X^ 2 = 1
X = +- 1 answer

For x = 1, r = -7/2
And for x = -1 , r = 7/2