Jawaban:
320 , 160 , 80 , 40 , ....
a = 320
r = 160 : 320 = 1/2
U6 = ar⁵ = (320) . (1/2)^5 = 320 . 1/32 = 10
Penjelasan dengan langkah-langkah:
____________________________
Diketahui:
- a = 320
- n = 6
Ditanya:
- U6 = ?
Jawab:
Rumus suku ke-n barisan geometri
[tex]\boxed{U_n = ar^{n-1}}[/tex]
→ Cari rasio barisan tersebut
[tex]\sf r = \frac{160}{320} = \frac{1}{2}[/tex]
[tex]\sf r = \frac{1}{2}[/tex]
→ Suku ke-6
[tex]\bf U_n = ar^{n - 1}[/tex]
[tex]\displaystyle \bf U_6 = 320 \times \left(\frac{1}{2}\right)^{6 - 1}[/tex]
[tex]\displaystyle \bf U_6 = 320 \times \left(\frac{1}{2}\right)^{5}[/tex]
[tex]\displaystyle \bf U_6 = 320 \times \frac{1^5}{2^5}[/tex]
[tex]\displaystyle \bf U_6 = \cancel{320} \times \frac{1}{\cancel{32}}[/tex]
[tex]\bf U_6 = 10 \times 1[/tex]
[tex]\bf U_6 = 10 [/tex]
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