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Tentukan formula suku ke- dari setiap barisan bilangan berikut ini.

Tentukan formula suku ke-begin mathsize 14px style n end style dari setiap barisan bilangan berikut ini.
begin mathsize 14px style 7 comma space 9 comma space 13 comma space 19 comma space horizontal ellipsis end style 

Jawaban:

Pada barisan bilangan begin mathsize 14px style 7 comma space 9 comma space 13 comma space 19 comma space horizontal ellipsis end style 

 

begin mathsize 14px style 7 comma space space space space 9 comma space space space space 13 comma space space 19 comma space horizontal ellipsis rightwards double arrow a equals 7 space plus 2 comma space space plus 4 comma space space plus 6 space space space space space space space rightwards double arrow b equals 2 space space space space space space plus 2 comma space space space plus 2 space space space space space space space space space space rightwards double arrow c equals 2  table attributes columnalign right center left columnspacing 2px end attributes row cell U subscript n end cell equals cell a plus open parentheses n minus 1 close parentheses b plus fraction numerator open parentheses n minus 2 close parentheses open parentheses n minus 1 close parentheses 2 over denominator 2 end fraction end cell row blank equals cell 7 plus open parentheses n minus 1 close parentheses 2 plus open parentheses n squared minus 3 n plus 2 close parentheses end cell row blank equals cell 7 plus 2 n minus 2 plus n squared minus 3 n plus 2 end cell row blank equals cell n squared minus n plus 7 end cell end table end style 


Maka formulanya adalah begin mathsize 14px style U subscript n equals n squared minus n plus 7 end style 

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