Question

hola!!

plz answer it with clear explanation..

thanks in advance ♥️​

Answer 1

Answer:

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Answer 2

$\huge \purple{ \mathfrak{solution}}$

Given:

$\frac{S_m}{S_n} = \frac{ {m}^{2} }{ {n}^{2} }$

Let .

$\frac{S_m}{ {m}^{2} } = \frac{S_</p><p>n}{ {n}^{2} } = k$

To find:

$\frac{T_m}{T_n}$

As we know that :

$\boxed{ \bold{T_n = s_n - s_{n - 1} }}$

$\rightarrow \: \frac{s_m - s_{m - 1}}{s_n - s_{n - 1}} \\ \\ \rightarrow \: \frac{k( {m}^{2} - ( {m - 1)}^{2} ) }{k( {n}^{2} - ( {n - 1)}^{2}) } \\ \\ \rightarrow \: \frac{ \cancel{k}( {m}^{2} - {m}^{2} - 1 + 2m) }{ \cancel{k}( {n }^{2} - {n}^{2} - 1 + 2n)} \\ \\ \rightarrow \: \frac{2m - 1}{2n - 1}$

Proved..