Math  /  Algebra

QuestionIn a G.P., if the pthp^{\text{th}}, qthq^{\text{th}}, and rthr^{\text{th}} terms are a,b,ca, b, c, prove that: aqrbrpcpq=1a^{q-r} \cdot b^{r-p} \cdot c^{p-q}=1.

Studdy Solution
Any number to the power of zero is1, soaqrbrpcpq=1010=1a^{q-r} \cdot b^{r-p} \cdot c^{p-q} =1^0 \cdot1^0 =1Therefore, we have proved that aqrbrpcpq=1a^{q-r} \cdot b^{r-p} \cdot c^{p-q} =1.

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