Roboguru

Diketahui titik  adalah susunan titik berpola. c....

Diketahui titik straight A left parenthesis 7 comma space 4 right parenthesis comma space straight B left parenthesis 10 comma space 9 right parenthesis comma space straight C left parenthesis 13 comma space 16 right parenthesis comma space dan space straight D left parenthesis 16 comma space 25 right parenthesis adalah susunan titik berpola.

c. Tentukan koordinat titik yang ke-18!

Jawaban:

Diketahui titik straight A left parenthesis 7 comma space 4 right parenthesis comma space straight B left parenthesis 10 comma space 9 right parenthesis comma space straight C left parenthesis 13 comma space 16 right parenthesis comma space dan space straight D left parenthesis 16 comma space 25 right parenthesis

Perhatikan pola bilangan berikut!

table attributes columnalign right center left columnspacing 0px end attributes row cell U subscript 1 end cell equals cell open parentheses 7 comma space 4 close parentheses space space space equals left parenthesis 4 plus 3 cross times bold 1 comma space left parenthesis 1 plus bold 1 right parenthesis squared right parenthesis space end cell row cell U subscript 2 end cell equals cell open parentheses 10 comma 9 close parentheses space space equals left parenthesis 4 plus 3 cross times bold 2 comma space left parenthesis 1 plus bold 2 right parenthesis squared right parenthesis space end cell row cell U subscript 3 end cell equals cell open parentheses 13 comma 16 close parentheses equals left parenthesis 4 plus 3 cross times bold 3 comma space left parenthesis 1 plus bold 3 right parenthesis squared right parenthesis space end cell row cell U subscript 4 end cell equals cell open parentheses 16 comma 25 close parentheses equals left parenthesis 4 plus 3 cross times bold 4 comma space left parenthesis 1 plus bold 4 right parenthesis squared right parenthesis end cell row blank blank vertical ellipsis row cell U subscript n end cell equals cell left parenthesis 4 plus 3 n comma space left parenthesis 1 plus n right parenthesis squared right parenthesis end cell end table 

Diperoleh koordinat titik ke-n pada pola bilangan tersebut adalah U subscript n equals left parenthesis 4 plus 3 n comma left parenthesis 1 plus n right parenthesis squared right parenthesis.

maka

table attributes columnalign right center left columnspacing 0px end attributes row cell U subscript 18 end cell equals cell open parentheses 4 plus 3 cross times 18 comma left parenthesis 1 plus 18 right parenthesis squared close parentheses end cell row blank equals cell open parentheses 58 comma space 361 close parentheses end cell end table 

Jadi, koordinat titik yang ke-18 adalah left parenthesis 58 comma space 361 right parenthesis.

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