Pertanyaan

8 ⋅ 3 n + 2 3 n + 4 − 3 ⋅ 3 n + 1 = ...

$\frac{3 ^{n + 4} - 3 \cdot 3 ^{n + 1}}{8 \cdot 3 ^{n + 2}} = ...$

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Ingat kembali: sehingga diperoleh perhitungan: Dengan demikian, hasil dari adalah . Jadi, jawaban yang tepat adalah D.

Ingat kembali:

a to the power of m times a to the power of n equals a to the power of m plus n end exponent. space a not equal to 0

a m plus a n equals a open parentheses m plus n close parentheses

sehingga diperoleh perhitungan:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 3 to the power of n plus 4 end exponent minus 3 times 3 to the power of n plus 1 end exponent over denominator 8 times 3 to the power of n plus 2 end exponent end fraction end cell equals cell fraction numerator 3 to the power of n plus 2 plus 2 end exponent minus 3 to the power of n plus 2 end exponent over denominator 8 times 3 to the power of n plus 2 end exponent end fraction end cell row blank equals cell fraction numerator 3 to the power of n plus 2 end exponent times 3 squared minus 3 to the power of n plus 2 end exponent over denominator 8 times 3 to the power of n plus 2 end exponent end fraction end cell row blank equals cell fraction numerator up diagonal strike 3 to the power of n plus 2 end exponent end strike open parentheses 3 squared minus 1 close parentheses over denominator up diagonal strike 3 to the power of n plus 2 end exponent end strike open parentheses 8 times 1 close parentheses end fraction end cell row blank equals cell fraction numerator 9 minus 1 over denominator 8 end fraction end cell row blank equals cell 8 over 8 end cell row blank equals 1 end table$

Dengan demikian, hasil dari $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 to the power of n plus 4 end exponent minus 3 times 3 to the power of n plus 1 end exponent over denominator 8 times 3 to the power of n plus 2 end exponent end fraction end cell end table$ adalah .

Jadi, jawaban yang tepat adalah D.