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Kelas : X
Materi : Deret Geometri
Kata Kunci : suku, barisan
Opsi Pilihan:
a. ³/₂
b. ⁴/₃
c. ³/₄
d. ²/₃
Jawaban : C
Pembahasan :
DIketahui:
U₃ = ar² = 96
U₆ = ar⁵ = 12
Ditanya : U₁₀
ar²/ar⁵ = 96/12
1/r³ = 8
r³ = 1/8
r = ∛¹/₈
r = ¹/₂
ar² = 96
a × (¹/₂)² = 96
a × ¹/₄ = 96
a = 96 × 4
a = 384
U₁₀ = ar⁹
= 384 × (¹/₂)⁹
= 384 × ¹/₅₁₂
= ³⁸⁴/₅₁₂
= ³/₄