Three consecutive terms of a geometric progression are gi...
Three consecutive terms of a geometric progression are given as n-2, n and n+3. Find the common ratio
1/4
1/2
2/3
3/2
Correct answer is D
r=\frac{n}{n-2}\hspace{1mm}and\hspace{1mm}r=\frac{n+3}{n}\\∴\frac{n}{n-2}=\frac{n+3}{n}\\n^2 = n^2 +3n - 2n-6\\0=n-6\\∴n=6\\But\hspace{1mm}r = \frac{n}{n-2}\\r=\frac{6}{6-2}\\\frac{6}{4}=\frac{3}{2}
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