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Pertanyaan

Notasi sigma yang ekuivalen dengan − k = 17 ∑ 110 ​ ( k 2 − 20 k + 90 ) − k = 81 ∑ 180 ​ ( k 2 + 40 k + 390 ) adalah …

Notasi sigma yang ekuivalen dengan  adalah   

  1. begin mathsize 14px style negative 2 sum from k equals 7 to 200 of left parenthesis k squared plus 10 k plus 240 right parenthesis end style 

  2. begin mathsize 14px style 2 sum from k equals 7 to 200 of left parenthesis k squared plus 10 k plus 240 right parenthesis end style 

  3. begin mathsize 14px style sum from k equals 7 to 200 of left parenthesis 10 minus k right parenthesis squared end style 

  4. begin mathsize 14px style sum from k equals 7 to 200 of left parenthesis k squared minus 10 right parenthesis end style 

  5. begin mathsize 14px style sum from k equals 7 to 200 of left parenthesis 10 minus k squared right parenthesis end style 

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E. Dwi

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

jawaban yang tepat adalah E.

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Pembahasan

Jadi, jawaban yang tepat adalah E.

begin mathsize 14px style negative sum from k equals 17 to 110 of left parenthesis k squared minus 20 k plus 90 right parenthesis minus sum from k equals 81 to 180 of left parenthesis k squared plus 40 k plus 390 right parenthesis equals negative sum from k equals 17 minus 10 to 110 minus 10 of left parenthesis left parenthesis k plus 10 right parenthesis squared minus 20 left parenthesis k plus 10 right parenthesis plus 90 right parenthesis minus sum from k equals 81 plus 20 to 180 plus 20 of left parenthesis left parenthesis k minus 20 right parenthesis squared plus 40 left parenthesis k minus 20 right parenthesis plus 390 right parenthesis equals negative sum from k equals 7 to 100 of left parenthesis k squared minus 20 k plus 100 minus 20 k minus 200 plus 90 right parenthesis space space space space minus sum from k equals 101 to 200 of left parenthesis k squared minus 40 k plus 400 plus 40 k minus 800 plus 390 right parenthesis equals negative sum from k equals 7 to 100 of left parenthesis k squared minus 10 right parenthesis minus sum from k equals 101 to 200 of left parenthesis k squared minus 10 right parenthesis equals negative open parentheses sum from k equals 7 to 100 of left parenthesis k squared minus 10 right parenthesis plus sum from k equals 101 to 200 of left parenthesis k squared minus 10 right parenthesis close parentheses equals negative sum from k equals 7 to 200 of left parenthesis k squared minus 10 right parenthesis equals sum from k equals 7 to 200 of minus left parenthesis k squared minus 10 right parenthesis equals sum from k equals 7 to 200 of left parenthesis 10 minus k squared right parenthesis end style 

Jadi, jawaban yang tepat adalah E.

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Tentukan nilai p yang memenuhi hubungan k = 0 ∑ 4 ​ ( 2 + 3 k ) k = 0 ∑ 3 ​ 2 p 2 ​ = 5 .

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