A) \[{{p}^{3}}\]
B) \[{{p}^{2}}\]
C) \[{{p}^{10}}\]
D) \[{{p}^{5}}\]
Correct Answer: D
Solution :
Let the first term and common ratio of a \[GP\] series be \[a\] and \[r\] respectively. According to the given condition \[a{{r}^{2}}=p\] ... (i) \[\therefore \] \[a\cdot ar\cdot a{{r}^{2}}\cdot a{{r}^{3}}\cdot a{{r}^{4}}={{(a{{r}^{2}})}^{5}}\] \[={{p}^{5}}\] [from (i)]You need to login to perform this action.
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