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Hasil dari adalah ...

Hasil dari begin mathsize 14px style sum from k equals 1 to 5 of open parentheses k plus 2 close parentheses plus sum from k equals negative 2 to 2 of 1 half k end style adalah ...

  1. 5space 

  2. 8space 

  3. 13space 

  4. 16space 

  5. 25space 

Jawaban:

Ingat!

  begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sum from k equals m to n of left parenthesis a subscript k plus b subscript k right parenthesis end cell equals cell sum from k equals m to n of a subscript k plus sum from k equals m to n of b subscript k end cell row cell sum from k equals m to n of c times a subscript k end cell equals cell c times sum from k equals m to n of a subscript k end cell row cell sum from k equals 1 to n of c end cell equals cell c times n end cell end table end style 

Sehingga, 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sum from k equals 1 to 5 of left parenthesis k plus 2 right parenthesis plus sum from k equals negative 2 to 2 of 1 half k end cell equals cell sum from k equals 1 to 5 of k plus sum from k equals 1 to 5 of 2 plus 1 half times sum from k equals negative 2 to 2 of k end cell row blank equals cell open parentheses 1 plus 2 plus 3 plus 4 plus 5 close parentheses plus 2 times 5 plus 1 half times open square brackets open parentheses negative 2 close parentheses plus open parentheses negative 1 close parentheses plus 0 plus 1 plus 2 close square brackets end cell row blank equals cell 15 plus 10 plus 0 end cell row blank equals 25 end table end style 

Jadi, jawaban yang tepat adalah E.

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