Question

Determine o sétimo termo da PG (-96, -24, -6, ...)​

Answer 1

Resolucao!

q = a2/a1

q = - 24 / - 96

q = 1 / 4

an = a1 * q^n - 1

an = - 96 * (1/4)^7 - 1

an = - 96 * (1/4)^6

an = - 96 * 1/4096

an = - 96/4096

an = - 3/128

Answer 2

Explicação passo-a-passo:

$an = a1 \times q {}^{(n - 1)}$

$a7 = - 96 \times \dfrac{ - 24}{ - 96} {}^{(7 - 1)}$

$a7 = - 96 \times (\dfrac{24 {}^{ \div 24} }{96 {}^{ \div 24} } ) {}^{6}$

$a7 = - 96 \times (\dfrac{1}{4} ) {}^{6}$

$a7 = - 96 \times \dfrac{1}{4096}$

$a7 = - \dfrac{96}{4096}$

$a7 = - \dfrac{96 {}^{ \div 32} }{4 96 {}^{ \div 32} }$

$a7 = - \dfrac{3}{128}$