[tex] \mathbb{ \color{aqua}{ \underbrace{JAWABAN}}}[/tex]
[tex] \begin{aligned}& \small{\bf{rumus \: suku \: ke - n : }} \\ & \boxed{ \bf{ \: {2}^{9 - n} \: } } \end{aligned}[/tex]
[tex] \begin{aligned}& \small{\bf{3 \: suku \: berikutnya : }} \\ & \boxed{ \bf{ \: 32 \: , \: 16 \: , \: 8 \: }} \end{aligned}[/tex]
------------------
[tex] \mathbb{ \color{orange}{ \underbrace{PENYELESAIAN}}}[/tex]
[tex]\boxed{ \begin{array}{c|c} \color{violet} \bf Rumus& \color{violet} \bf Keterangan \\ \hline & \tt{\color{magenta} U} \blue{_n} = suku \: ke - n ~~~~~\\ \boxed{ \: \tt {\color{magenta} U} \color{aqua} \blue{_n} = \purple {a} \cdot \green{r}^{ \blue{n} - 1} \: } & \tt \purple{a} = suku \: pertama \\ & \tt \green{r} = rasio \: \left( \frac{U_{2}}{U_{1}} \right) ~~~\end{array} } \\ \\[/tex]
[tex] \boxed{ \: \begin{aligned} \tt{a} &= \tt{ \purple{256}} \\ \tt{r} &= \tt{ \frac{128}{256} = \green{ \frac{1}{2}} } \end{aligned} \: } \\ \\ [/tex]
- rumus suku ke-n
[tex] \boxed{ \: \begin{aligned} \tt{U_{n}} &= \tt{ \purple{a} \cdot { \green{r}}^{n - 1} } \\ \tt{U_{n}} &= \tt{ \purple{256} \cdot { \left( \green{ \frac{1}{2} } \right)}^{n - 1} } \\ \tt{U_{n}} &= \tt{ {2}^{8} \cdot {\left( {2}^{ - 1} \right) }^{n - 1} } \\ \tt{U_{n}} &= \tt{ {2}^{8} \cdot {2}^{ - n + 1} } \\ \tt{U_{n}} &= \tt{ {2}^{8 - n + 1} } \\ \tt{U_{n}} &= \red{ \boxed{ \bf{ \pink{ {2}^{9 - n} }}}} \end{aligned} \: } &\begin{aligned}&\bf{ \red{ingat : }} \\ & \boxed{ \: \begin{aligned} \tt{ {a}^{ - n} } &= \tt{ \frac{1}{ {a}^{n} } } \\ \tt{ {( {a}^{m} )}^{n} }&= \tt{ {a}^{m \times n} } \\ \tt{ {a}^{m} \times {a}^{n} } &= \tt{ {a}^{m + n} } \end{aligned} \: } \end{aligned} \\ \\ [/tex]
- tiga suku berikutnya
[tex] \boxed{ \: \begin{array}{c|c|c} \begin{aligned} \tt{U_{n}} &= \tt{ {2}^{9 - n} } \\ \tt{U_{4}} &= \tt{ {2}^{9 - 4} } \\ \tt{U_{4}} &= \tt{ {2}^{5} } \\ \tt{U_{4}} &= \red{ \boxed{ \bf{ \pink{32}}}} \end{aligned} & \begin{aligned} \tt{U_{n}} &= \tt{ {2}^{9 - n} } \\ \tt{U_{5}} &= \tt{ {2}^{9 - 5} } \\ \tt{U_{5}} &= \tt{ {2}^{4} } \\ \tt{U_{5}} &= \red{ \boxed{ \bf{ \pink{16}}}} \end{aligned} & \begin{aligned}\tt{U_{n}} &= \tt{ {2}^{9 - n} } \\ \tt{U_{6}} &= \tt{ {2}^{9 - 6} } \\ \tt{U_{6}} &= \tt{ {2}^{3} } \\ \tt{U_{6}} &= \red{ \boxed{ \bf{ \pink{8}}}} \end{aligned} \end{array} \: }[/tex]
[tex] \colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}\colorbox{ff00c0}{}\colorbox{ff00a0}{}\colorbox{ff0080}{}\colorbox{ff0040}{} [/tex]
[answer.2.content]
