THERE ARE TWO QUESTIONS:-1.) The first and the second terms of the G.P. are x^-4 and x^m.If it's 8th term isx^52 then find the value of m. 2.) Three numbers form an increasing G.P. If the middle term is doubled, then the new numbers are in A.P.Find the common ratio of the G.P. PLEASE SOLVE THIS. IT'S URGENT I'LL MARK BRAINLIEST ALSO FROM THE CORRECT ANSWER.
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let the numbers be a, ar, ar^2 (r>1)
According to question,
a, 2ar, ar^2 are in A.P.
b-a=c-b
2b=a+c
Now! 2(2ar)=a+ar^2 (a not equal to 0)
4r=1+r^2
r^2-4r+1=0
Applying Quadratic equation! -b+/-√b^2-4ac÷2a
r=2+/-root of 3
r=2+root of 3 (+ only)
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