SOLUTION: Given that x-1,2x+5,8x-1 are three consecutive terms of a GP. Find possible value of x and the common ratio of the progression

Question 856032: Given that x-1,2x+5,8x-1 are three consecutive terms of a GP. Find possible value of x and the common ratio of the progression
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
arithmetic
x-1,2x+5,8x-1
(2x+5)-(x-1)=(8x-1)-(2x+5)
x = 12/5
x-1 = 7/5, 2x+5 = 49/5, 8x-1 = 91/5
d=42/5
geometric
(2x+5)/(x-1)=(8x-1)/(2x+5)
(2x+5)/(x-1)=a,b=(8x-1)/(2x+5)
a = -2, b = -2, x = -3/4
ratio is -2 when x=-3/4
a = 3, b = 3, x = 8
ratio is 3 when x=8
RELATED QUESTIONS
If the sums of the first three terms of an AP and a GP are equal and non-zero, the... (answered by greenestamps,ikleyn)

The first and 3rd terms of a GP are 2 and 1/9,respectively. Find: a) the common ratio... (answered by josgarithmetic)

The first three consecutive terms of an exponential sequence are (x-1), 2x and (5x+3)... (answered by greenestamps)

The first four terms of gp is 30 and that of the last four term is 960 if the first... (answered by ikleyn)

Given a solution to the question, if the first three terms of a Gp are 2x-1, x+1 and x.... (answered by josgarithmetic)

A gp has 8 terms.its first and last term are 0.3 and 38.4 and its common ratio is 2 find... (answered by ikleyn)

The three consecutive terms of exponential sequence are x-1,2x&5x+3,find(1)x(2) find... (answered by greenestamps)

The three consecutive terms of exponential sequence are x_1,2x,&5x+3,find (1)x(2) find... (answered by ikleyn)

The first three terms of a G.P are x+1, x+3 and x+8, find, i) The Value of x ii) The... (answered by FrankM,htmentor,MathLover1,MathTherapy)