Un = 2 × 2^n-1
tulislah enam suku pertama!
no ngasal
no copas
menggunakan ccar
Jawab:
enam suku pertama 3 , 7 , 15 , 31 , 63 , 127
Penjelasan dengan langkah-langkah:
[tex]Un = 2 . 2^{n-1}[/tex]
[tex]U_{1}[/tex] = [tex]2. 2^{1-1}[/tex]
= 3
[tex]U_{2}[/tex] = [tex]2. 2^{2-1}[/tex]
= 7
[tex]U_{3}[/tex] = [tex]2. 2^{3-1}[/tex]
= 15
[tex]U_{4}[/tex] = [tex]2. 2^{4-1}[/tex]
= 31
[tex]U_{5}[/tex] = [tex]2. 2^{5-1}[/tex]
= 63
[tex]U_{6}[/tex] = [tex]2. 2^{6-1}[/tex]
= 127
jadi jawabannya 3 , 7 , 15 , 31 , 63 , 127
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Penyelesaian :
[tex]Un = 2 × 2^{n-1} \: n = 6 \\ \\ u6 = 2 \times {2}^{6 - 1} \\ \\ n6 = 2 \times {2}^{5} \\ \\ n6 = 2 \times (2 \times 2 \times 2 \times 2 \times 2) \\ \\ n6 = 2 \times (4 \times 2 \times 2 \times 2) \\ \\ n6 = 2 \times (4 \times 4 \times 2) \\ \\ n6 = 2 \times (16 \times 2 ) \\ \\ n6 = 2 \times 32 \\ \\ \boxed{ \boxed{ \blue{ n6 = 64}}}[/tex]
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[tex]\color{808080}{\fcolorbox{blue} {black}{ \boxed{\: \: \: \: \: \orange{\star}{\bold{\: \: \: \: \color{eeeee4} \color{blue}✯\\ \color{abdbe3} {\ DxzeR \color{FFFFFF} \color{blue}✯\: \color{eeeee4} \: \: \: \::\: \: \: \orange{\star}}}}}}}[/tex]
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