Diketahui suku kedua dan suku keenam barisan geometri berturut-turut adalah 54 dan 27 / 8. Suku ke-8 barisan geometri tersebut

- Barisan dan Deret -

U2 = 54
ar = 54
a = 54/r

U6 = 27/8
ar^5 = 27/8
54/r . r^5 = 27/8
54r^4 = 27/8
r^4 = 27/432
r = 0,5
r = 1/2

a = 54/(1/2) = 108

U8 = ar^7 = 108 (1/2)^7 = 108/128 = 27/32

semoga membantu
-vin

Mapel Matematika
Bab Baris dan Deret

U2 = 54
U6 = 27/8

ar = 54
ar^5 = 27/8
ar.r^4 = 27/8
54.r^4 = 27/8
r^4 = 1/16
r = 1/2

ar = 54
1/2 a = 54
a = 108

U8 = ar^7
U8 = 108.(1/2)^7
U8 = 108.(1/128)
U8 = 108/128
U8 = 27/32