Question

Determine o valor da incógnita da pg(...,-18/16,z,-162/256,...)

Answer 1

an+1 = √(an . an+2)

z = √((-18/16) . (-162/256))

z = √(2916/4096)

z = 54/64 = 27/32

Answer 2

Resposta:

z= -27/32 ou z=27/32

Explicação passo-a-passo:

q=z/(-18/16)=(-162/256)/z

z²=(-18/16).(-162/256)

z²=2916/4096

z²=2916÷4/4096÷4

z²=729/1024

z=±√729/1024

729 | 3

243 | 3

81 | 3

27 | 3

9 | 3

3 | 3

1 | 1

729 = 3 . 3 . 3 . 3 . 3 . 3 = 3⁶

1024 | 2

512 | 2

256 | 2

128 | 2

64 | 2

32 | 2

16 | 2

8 | 2

4 | 2

2 | 2

1 | 1

MMC = 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 =2¹⁰

z=±√729/1024

z=±√3⁶/2¹⁰

z=±3³/2⁵

z=±27/32