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Pertanyaan

Notasi sigma yang ekuivalen dengan 25 k = − 5 ∑ n − 6 ​ ( k 2 + 11 k + 30 ) − k = 10 ∑ n + 9 ​ ( 5 k − 45 ) + 9 n adalah …

Notasi sigma yang ekuivalen dengan  adalah   

  1. begin mathsize 14px style sum from k equals 1 to n of left parenthesis 3 k minus 5 right parenthesis squared end style 

  2. begin mathsize 14px style sum from k equals 1 to n of left parenthesis 5 k minus 3 right parenthesis squared end style 

  3. begin mathsize 14px style sum from k equals 1 to n of left parenthesis 5 k plus 3 right parenthesis squared end style 

  4. begin mathsize 14px style sum from k equals 1 to n of left parenthesis 25 k squared plus 170 k minus 6 right parenthesis space end style 

  5. begin mathsize 14px style 5 sum from k equals 1 to n of left parenthesis 5 k squared plus 54 k plus 19 right parenthesis space end style 

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E. Dwi

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

jawaban yang tepat adalah B.

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Pembahasan

Jadi, jawaban yang tepat adalah B.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 25 sum from k equals negative 5 to n minus 6 of open parentheses k squared plus 11 k plus 30 close parentheses minus sum from k equals 10 to n plus 9 of open parentheses 5 k minus 45 close parentheses plus 9 n end cell row blank equals cell 25 sum from k equals negative 5 plus 6 to n minus 6 plus 6 of open parentheses left parenthesis k minus 6 right parenthesis squared plus 11 left parenthesis k minus 6 right parenthesis plus 30 close parentheses minus sum from k equals 10 minus 9 to n plus 9 minus 9 of open parentheses 5 left parenthesis k plus 9 right parenthesis minus 45 close parentheses plus sum from k equals 1 to n of n end cell row blank equals cell 25 sum from k equals 1 to n of left parenthesis left parenthesis k squared minus 12 k plus 36 right parenthesis plus 11 k minus 66 plus 30 right parenthesis minus sum from k equals 1 to n of left parenthesis 5 k plus 45 minus 45 right parenthesis plus sum from k equals 1 to n of 9 end cell row blank equals cell 25 sum from k equals 1 to n of left parenthesis k squared minus k right parenthesis minus sum from k equals 1 to n of 5 k plus sum from k equals 1 to n of 9 end cell row blank equals cell sum from k equals 1 to n of 25 left parenthesis k squared minus k right parenthesis minus sum from k equals 1 to n of 5 k plus sum from k equals 1 to n of 9 end cell row blank equals cell sum from k equals 1 to n of left parenthesis 25 k squared minus 25 k minus 5 k plus 9 right parenthesis end cell row blank equals cell sum from k equals 1 to n of left parenthesis 25 k squared minus 30 k plus 9 right parenthesis end cell row blank equals cell sum from k equals 1 to n of left parenthesis 5 k minus 3 right parenthesis squared end cell end table end style   

Jadi, jawaban yang tepat adalah B.

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