Question

X+1, 2x-1 and 3x + 1 are the first three terms of a G.P. If x=0, find the common ratio.
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Answer 1

Explanation:

if that is a geometric sequence to find the common ratio

`(t2)/(t1)`

you divide the exceeded term with the previous term

simply you can say

`(tn)/(t(n - 1))`

therefore now we have

`(2x - 1)/(x + 1) or \\ (3x + 1)/(2x - 1)`

therefore you will substitute x=0 in any of the given equations they should give youbthe same answer

`(2(0) -1 )/(0 + 1) = - 1`

or

`(3(0) + 1)/(2(0) - 1) = - 1`

• the common ratio is -1