tuliskan tiga suku berikutnya dari barisan
32..8..2![]()
32..8..2
Jawab:
Penjelasan dengan langkah-langkah:
32, 8, 2, ...
Barisan di atas adalah barisan geometri dengan a = 32 dan r = 8/32 = 1/4.
Uₙ = a . rⁿ ⁻ ¹
U₄ = 32 . [tex](\frac{1}{4} )^{4 - 1}[/tex] = 2⁵ . [tex](\frac{1}{4} )^{3}[/tex] = 2⁵ . (2⁻²)³ = 2⁵ . 2⁻⁶ = 2⁵ ⁺ ⁽⁻⁶⁾ = 2⁻¹ = [tex]\frac{1}{2}[/tex]
U₅ = 32 . [tex](\frac{1}{4} )^{5 - 1}[/tex] = 2⁵ . [tex](\frac{1}{4} )^{4}[/tex] = 2⁵ . (2⁻²)⁴ = 2⁵ . 2⁻⁸ = 2⁵ ⁺ ⁽⁻⁸⁾ = 2⁻³ = [tex]\frac{1}{8}[/tex]
U₆ = 32 . [tex](\frac{1}{4} )^{6 - 1}[/tex] = 2⁵ . [tex](\frac{1}{4} )^{5}[/tex] = 2⁵ . (2⁻²)⁵ = 2⁵ . 2⁻¹⁰ = 2⁵ ⁺ ⁽⁻¹⁰⁾ = 2⁻⁵ = [tex]\frac{1}{32}[/tex]
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