Pertanyaan

Nilai k = 1 ∑ 40 2 k − 41 k − 21 = …

Nilai $k = 1 \sum 40 \frac{k - 21}{2 k - 41} = \dots$

E. Dwi

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Jadi, jawaban yang tepat adalah B.

$begin mathsize 14px style sum from k equals 1 to 40 of fraction numerator k minus 21 over denominator 2 k minus 41 end fraction equals fraction numerator negative 20 over denominator 1 minus 40 end fraction plus fraction numerator negative 19 over denominator 1 minus 38 end fraction plus fraction numerator negative 18 over denominator 1 minus 36 end fraction plus... plus fraction numerator negative 2 over denominator 1 minus 4 end fraction plus fraction numerator negative 1 over denominator 1 minus 2 end fraction plus fraction numerator 0 over denominator 1 plus 0 end fraction space space space space plus fraction numerator 1 over denominator 1 plus 2 end fraction plus fraction numerator 2 over denominator 1 plus 4 end fraction plus fraction numerator 3 over denominator 1 plus 6 end fraction plus... plus fraction numerator 17 over denominator 1 plus 34 end fraction plus fraction numerator 18 over denominator 1 plus 36 end fraction plus fraction numerator 19 over denominator 1 plus 38 end fraction equals fraction numerator negative 20 over denominator negative 39 end fraction plus fraction numerator negative 19 over denominator negative 37 end fraction plus fraction numerator negative 18 over denominator negative 35 end fraction plus... plus fraction numerator negative 2 over denominator negative 3 end fraction plus fraction numerator negative 1 over denominator negative 1 end fraction plus 0 plus 1 third plus 2 over 5 plus 3 over 7 space space space space space plus... plus 17 over 35 plus 18 over 37 plus 19 over 39 equals open parentheses 20 over 39 plus 19 over 39 close parentheses plus open parentheses 19 over 37 plus 18 over 37 close parentheses plus open parentheses 18 over 35 plus 17 over 35 close parentheses plus... plus open parentheses 2 over 3 plus 1 third close parentheses plus 1 equals 1 plus 1 plus 1 plus... plus 1 plus 1 space space space space space space left parenthesis 20 space suku right parenthesis equals 20 cross times 1 equals 20 end style$

Jadi, jawaban yang tepat adalah B.