Question

me ajudem por favor!!!​

Answer 1

Resposta:1) q = 3     2)PG(6;12;24;48;96)   3) PG ( 2; 1; 1/2; 1/4; 1/8    4) a) q = 5  b) 15625

Explicação passo-a-passo:

1) $q = \frac{a_{2} }{a_{1} } = q = \frac{6_{} }{2_{} } => q = 3$

2) $a_{1}= a_{1} . q => a_{1}= 3{} . 2 = a_{1}= 6{}$

$a_{2}= a_{2} . q =>a_{2} = 6{} . 2 = a_{2}= 12{}$

$a_{3}= a_{3} . q => a_{3}= 12{} . 2 = a_{3}= 24{}$

$a_{4}= a_{4} . q => a_{4}= 24{} . 2 = a_{4}= 48{}$

$a_{5}= a_{5} . q => a_{5}= 48{} . 2 = a_{5}= 96{}$

3) $a_{1}= a_{1} . q => a_{1}= 4{} . \frac{1}{2} => a_{1}= {} \frac{4}{2} => a_{1}= 2{}$

$a_{2}= a_{2} . q => a_{2}= 2{} . \frac{1}{2} => a_{2}= {} \frac{2}{2} => a_{2}= 1{}$

$a_{3}= a_{3} . q => a_{3}= 1{} . \frac{1}{2} => a_{3}= {} \frac{1}{2}$

$a_{4}= a_{4} . q => a_{4}= \frac{1}{2} {} . \frac{1}{2} => a_{4}= {} \frac{1}{4}$

$a_{5}= a_{5} . q => a_{5}= \frac{1}{4} {} . \frac{1}{2} => a_{5}= {} \frac{1}{8}$

4) $a) q = \frac{a_{2} }{a_{1} } => \frac{5}{1} = q = 5$

b) q = 5   $a_{1} = 1$   n =7

$a_{n}= a_{1} .q^{n-1} => a_{7}= 1_{} .5^{7-1} => a_{7}= 5^{6} => a_{7}= 15625$