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Nth Term of GP

if p,p+2,p+...

Question

if $p, p + 2, p + 6$ are in GP find $p$

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Solution

Given $p, p + 2, p + 6$ are in GP
Condition to be in GP
$(p + 2)^{2} = p (p + 6) p^{2} + 4 p + 4 = p^{2} + 6 p 2 p = 4 p = 2$

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