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Q. Fifth term of an G.P. is 2, then the product of its 9 terms is

JamiaJamia 2005

Solution:

$ a{{r}^{4}}=2 $ ...(i) $ a\times ar\times a{{r}^{2}}a{{r}^{3}}\times a{{r}^{4}}\times a{{r}^{5}}\times a{{r}^{6}}\times a{{r}^{7}}\times a{{r}^{8}} $ $ ={{a}^{9}}{{r}^{36}}={{(a{{r}^{4}})}^{9}}={{2}^{9}}=512 $