Question

:0 (23 pontos!!!!!)




Numa P.g infinita temos a1=512 e q=1/2 qual é o 6° termo ?????????????

Answer 1

a₁=512=2⁹   , q=1/2   e n=6


an=a1 * q^(n-1)

a₆ =2⁹ *(1/2)⁵  =2⁹ * 2⁻⁵   =2⁴  é a resposta 

Answer 2

$\large\boxed{\boxed{{a_{n}=a_{1}*q^{n}-1}}}}}$

$\LARGE{a_{6}=512*(\frac{1}{2})^6-1}$

$\LARGE{a_{6}=512*(\frac{1}{2})^5}$

$\LARGE{a_{6}=512*\frac{1^5}{2^5}}$

$\LARGE{a_{6}=512*\frac{1}{32}}$

$\LARGE{a_{6}=\frac{512}{32}}$

${\color{blue}{a_{6}=16}}$

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