Question

упростите выражение
4^n+1 - 4^n-1 / 5*4^n

Answer 1

$frac{4^{n+1} - 4^{n-1 }}{5*4^n} = frac{4^{n}*4- 4^{n}4^{-1 }}{5*4^n} = frac{4^{n}(4 - frac{1}{4} )}{5*4^n} = frac{ frac{15}{4} }{5} = frac{15}{4*5} = frac{3}{4}$