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Tulislah lima suku pertama barisan !

Tulislah lima suku pertama barisan begin mathsize 14px style straight U subscript straight n equals fraction numerator straight n squared minus 4 straight n over denominator 2 plus 3 straight n end fraction end style!

Jawaban:

Lima suku pertama barisan begin mathsize 14px style straight U subscript straight n equals fraction numerator straight n squared minus 4 straight n over denominator 2 plus 3 straight n end fraction end style adalah:

- Suku Pertama

begin mathsize 14px style straight U subscript straight n equals fraction numerator straight n squared minus 4 straight n over denominator 2 plus 3 straight n end fraction straight U subscript 1 equals fraction numerator 1 squared minus 4 open parentheses 1 close parentheses over denominator 2 plus 3 open parentheses 1 close parentheses end fraction straight U subscript 1 equals fraction numerator 1 minus 4 over denominator 2 plus 3 end fraction straight U subscript 1 equals fraction numerator negative 3 over denominator 5 end fraction end style 

- Suku Kedua

begin mathsize 14px style straight U subscript straight n equals fraction numerator straight n squared minus 4 straight n over denominator 2 plus 3 straight n end fraction straight U subscript 2 equals fraction numerator 2 squared minus 4 left parenthesis 2 right parenthesis over denominator 2 plus 3 left parenthesis 2 right parenthesis end fraction straight U subscript 2 equals fraction numerator 4 minus 8 over denominator 2 plus 6 end fraction straight U subscript 2 equals fraction numerator negative 4 over denominator 8 end fraction straight U subscript 2 equals fraction numerator negative 1 over denominator 2 end fraction end style 

- Suku Ketiga

begin mathsize 14px style straight U subscript straight n equals fraction numerator straight n squared minus 4 straight n over denominator 2 plus 3 straight n end fraction straight U subscript 3 equals fraction numerator 3 squared minus 4 left parenthesis 3 right parenthesis over denominator 2 plus 3 left parenthesis 3 right parenthesis end fraction straight U subscript 3 equals fraction numerator 9 minus 12 over denominator 2 plus 9 end fraction straight U subscript 3 equals fraction numerator negative 3 over denominator 11 end fraction end style 

- Suku Keempat

begin mathsize 14px style straight U subscript straight n equals fraction numerator straight n squared minus 4 straight n over denominator 2 plus 3 straight n end fraction straight U subscript 4 equals fraction numerator 4 squared minus 4 left parenthesis 4 right parenthesis over denominator 2 plus 3 left parenthesis 4 right parenthesis end fraction straight U subscript 4 equals fraction numerator 16 minus 16 over denominator 2 plus 12 end fraction straight U subscript 4 equals 0 over 14 straight U subscript 4 equals 0 end style 

- Suku kelima

begin mathsize 14px style straight U subscript straight n equals fraction numerator straight n squared minus 4 straight n over denominator 2 plus 3 straight n end fraction straight U subscript 5 equals fraction numerator 5 squared minus 4 left parenthesis 5 right parenthesis over denominator 2 plus 3 left parenthesis 5 right parenthesis end fraction straight U subscript 5 equals fraction numerator 25 minus 20 over denominator 2 plus 15 end fraction straight U subscript 5 equals 5 over 17 end style 

Jadi, lima suku pertama barisan begin mathsize 14px style straight U subscript straight n equals fraction numerator straight n squared minus 4 straight n over denominator 2 plus 3 straight n end fraction end style adalah begin mathsize 14px style negative 3 over 5 comma space minus 1 half comma space minus 3 over 11 comma space 0 comma space 5 over 17 end style.

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