l,m,n એ ધન સમગુણોતર શ્રેણીના {p^{th}},{q^{th} | vedclass

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Question

(d) Let $A$  be the first term and $R$  be the common ratio of the $G.P$. then,

$l = A{R^{p - 1}} \Rightarrow \log l = \log A + (p - 1)\l

Vedclass · Accepted Answer

$0$

Vedclass · Answer

(d) Let $A$  be the first term and $R$  be the common ratio of the $G.P$. then,

$l = A{R^{p - 1}} \Rightarrow \log l = \log A + (p - 1)\log R$&hellip;..$(i)$

$m = A{R^{q - 1}} \Rightarrow \log m = \log A + (q - 1)\log R$&hellip;..$(ii)$

$n = A{R^{r - 1}} \Rightarrow \log n = \log A + (r - 1)\log R$&hellip;..$(iii)$

Multiplying $(i), (ii)$ and $(iii)$ by

$(q - r),\,(r - p)\,$ and $(p - q)$ respectively and adding we get, $\log l\,(q - r) + \log m(r - p) + \log n(p - q) = 0$

$	herefore \,\Delta = 0$.

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