The ratio of the second to the first:   = .


The ratio of the third to the second:   = .


The ratios should be equal:   = .


Multiply by -4 both sides. You will get  p = 6t.


The ratio of the fourth to the third:   = .


Compare the ratio of  with the ratio of . It produces  = 1. Hence, p = +/-1. Then t = +/-6 correspondingly.


Answer.  p = 1, t = 6   or/and   p = -1, t = -6.

Solutions: 

However, since p < 0, then the only solution is:  

RELATED QUESTIONS

the first numbers p-1, 2p-2 and 3p-1 are the first three terms of a GP where p>0 find... (answered by rothauserc)

If 3,p,q,24 of an exponential sequence are consecutive terms what is the 
value of p and  (answered by Alan3354)

P,6 and r are three consecutive terms of a linear sequence.
if r is twice the value of... (answered by ewatrrr)

The nth term t(n),of a sequence is giving by t(n)=p+nq,where p and q are constants.find... (answered by Edwin McCravy)

the first numbers p-1,2p-2 and 3p-1 are the first three terms of a Go where p>0 find... (answered by htmentor)

The nth term t(n),of a sequence is given by t(n)=p+nq,where p and q are constants.find... (answered by greenestamps)

the first numbers p-1,2p-2 and 3p-1 are the first three terms of a Gp where p>0 find... (answered by jim_thompson5910)

If T and P  are positive numbers which of the following statements is always false? 
A)... (answered by ikleyn)

The nth term t(n),of a sequence is given by t(n)=p+nq,where p and q are constants.write... (answered by greenestamps)