Three terms form an increasing gp if the middle term is doubled,then the new numbers are in Ap.find the common ratio of the gp
Answers
Answered by
8
Hi, let the numbers be a, ar, ar^2 (r>1)According to question, a, 2ar, ar^2 are in A.P.b-a=c-b2b=a+cNow! 2(2ar)=a+ar^2 (a not equal to 0)
4r=1+r^2r^2-4r+1=0 Applying Quadratic equation! -b+/-√b^2-4ac÷2ar=2+/-root of 3r=2+root of 3 (+ only)
If you have any doubts, plz post it below. :)
4r=1+r^2r^2-4r+1=0 Applying Quadratic equation! -b+/-√b^2-4ac÷2ar=2+/-root of 3r=2+root of 3 (+ only)
If you have any doubts, plz post it below. :)
Similar questions