A) 256
B) 512
C) 1024
D) None of these
Correct Answer: B
Solution :
GP of n terms is a, ar, \[a{{r}^{2}},a{{r}^{3}},...,a{{r}^{n-1}}\]. Since, fifth term of a GP is \[a{{r}^{4}}=2\] where, a and r are first term and common ratio of GP. Now, required product \[=a\times ar\times a{{r}^{2}}\times a{{r}^{3}}\times a{{r}^{4}}\times a{{r}^{5}}\times a{{r}^{6}}\times a{{r}^{7}}\times a{{r}^{8}}\] \[={{a}^{9}}{{r}^{36}}={{(a{{r}^{4}})}^{9}}={{2}^{9}}=512\]
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