If the m^{{th}{~}},n^{{th}{~}} and p^{{th}{~}} terms of an A.P and G.P. are equal and are x,y,z then prove that x^{y - z} \cdot y^{z - x} \cdot z^{x - y} = 1: Sequence & Series (Mathematics) Question | DivineJEE

If the

m^{\text{th}\text{~}},n^{\text{th}\text{~}}

and\n

p^{\text{th}\text{~}}

terms of an A.P and G.P. are equal and are\n

x,y,z

then prove that\n

x^{y - z} \cdot y^{z - x} \cdot z^{x - y} = 1

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