Pertanyaan

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

Tentukan nilai p yang memenuhi hubungan $\frac{k = 0 \sum 3 2 p ^{2}}{k = 0 \sum 4 ( 2 + 3 k )} = 5$ .

S. Yoga

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

nilai adalah atau .

nilai

adalah

atau

Pembahasan

Dengan demikian, diperoleh: Jadi, nilai adalah atau .

Dengan demikian, diperoleh:

$begin mathsize 14px style fraction numerator begin display style sum from k equals 0 to 3 of 2 p squared end style over denominator begin display style sum from k equals 0 to 4 of left parenthesis 2 plus 3 k right parenthesis end style end fraction equals 5 left right double arrow fraction numerator begin display style left parenthesis 3 minus 0 plus 1 right parenthesis 2 p squared end style over denominator begin display style 40 end style end fraction equals 5 space space space space space space space space space space space space space space space space space space space space space space space space space left right double arrow fraction numerator begin display style 8 p squared end style over denominator begin display style 40 end style end fraction equals 5 space space space space space space space space space space space space space space space space space space space space space space space space space left right double arrow fraction numerator begin display style p squared end style over denominator begin display style 5 end style end fraction equals 5 space space space space space space space space space space space space space space space space space space space space space space space space space left right double arrow p squared equals 25 space space space space space space space space space space space space space space space space space space space space space space space space space left right double arrow p equals plus-or-minus 5 end style$

Jadi, nilai adalah atau .