Question

calcule o decimo sétimo da pg ( -2, -8 , -32,...)​

Answer 1

Resposta:

$a_{17} =-(2^{33})\\\\OU\\\\a_{17} = -8\ 589\ 934\ 592$

Explicação passo a passo:

$a_{1} =(-2)\\\\a_{2} =(-8)\\\\q=\frac{a_{2} }{a_{1} } =\frac{(-8)}{(-2)} =4\\\\n=17$

$a_{n} =a_{1}\times q^{n-1}\\\\a_{17} =(-2)\times 4^{17-1}\\\\a_{17} =(-2)\times 4^{16}\\\\a_{17} =(-2)\times (2^{2} )^{16} \\\\a_{17} =(-2)\times 2^{2\times16} \\\\a_{17} =-(2^{1} )\times 2^{32} \\\\a_{17} =-(2^{32+1})\\\\a_{17} =-(2^{33})$