Question

Please give me its answer.​

Answer 1

$\bf \LARGE\color{pink}Hola!$

To FinD :

$\sf \rightsquigarrow \: \frac{ {4}^{(n + 2)} - {4}^{(n - 1)} }{5 \times {4}^{n} - {4}^{n} } = {?}$

SolutioN :

$\: \: \: \: \sf \circ \: \: \: \: \: \: \frac{ {4}^{(n + 2)} - {4}^{(n - 1)} }{5 \times {4}^{n} - {4}^{n} }$

$\sf : \implies \frac{ { {4}^{n} \cdot {4}^{2} } - { \frac{ {4}^{n} }{4 \: } } }{4 \cdot{4}^{n} }$

$: \implies \sf \: \frac{ \cancel{ {4}^{n}} ( {4}^{3} - 1 )}{ {4}^{2} \cdot \cancel{ {4}^{n}} }$

$\: \: \: \: \: \: \therefore \sf \: \: \: \: \underline{ \boxed{ \sf{ \: \: \frac{63}{16} \: \: }}}$

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