U3 4 u9 256 maka u15
Matematika
rohmayeti1991
Pertanyaan
U3 4 u9 256 maka u15
1 Jawaban
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1. Jawaban algebralover
Un = a × r⁽ⁿ⁻¹⁾
U₃ = 4
a × r⁽³⁻¹⁾ = 4
a.r² = 4
U₉ = 256
a × r⁽⁹⁻¹⁾ = 256
a.r⁸ = 256
Mencari nilai "r"
U₉ / U₃ = 256 / 4
(a.r⁸) / (a.r²) = 64
r⁽⁸⁻²⁾ = 64
r⁶ = 2⁶ ............. aˣ = bˣ ⇒ a = ˣ√bˣ ⇒ a = b⁽ˣ/ˣ⁾ ⇒ a = b
r = 2
Mencari nilai "a"
a × r² = 4
a × (2²) = 4
a × 4 = 4
a = 4/4
a = 1
Mencari U₁₅
Un = a × r⁽ⁿ⁻¹⁾
U₁₅ = (1) × (2)¹⁴
U₁₅ = (2)¹⁴
U₁₅ = 16.384