 Hi and welcome to the session. Let us discuss our calling question. The question says for what values of x the numbers minus 2 by 7 x minus 2 by 7 are in GP. Let's now begin with the solution. We know that in GP the ratio of any term to the preceding term is always same. So the numbers minus 2 by 7 x minus 2 by 7 will be in GP if ratio of second term to the first term that is x by minus 2 by 7 is equal to ratio of third term to the second term that is minus 2 by 7 upon x. Now this implies 7x upon minus 2 is equal to minus 2 upon 7x and this implies 49x square is equal to 4 and this implies x square is equal to 4 by 49 and this implies x is equal to plus minus 2 by 7 and the required answer is plus minus 2 by 7. This completes the session. Bye and take care.