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Pertanyaan

Diketahui sum from k equals 4 to 9 of open parentheses 2 open parentheses k minus 3 close parentheses squared plus 3 p close parentheses equals sum from k equals 16 to 32 of 16. Tentukan nilai p yang memenuhi.

R. Bella

Master Teacher

Mahasiswa/Alumni UIN Syarif Hidayatullah Jakarta

Jawaban terverifikasi

Pembahasan

table attributes columnalign right center left columnspacing 0px end attributes row cell sum from k equals 4 to 9 of left parenthesis 2 open parentheses k minus 3 close parentheses squared right parenthesis plus sum from k equals 4 to 9 of 3 p end cell equals cell sum from k equals 16 to 32 of 16 end cell row cell stack 2 sum with k equals 4 below and 9 on top open parentheses k minus 3 close parentheses squared plus 3 sum from k equals 4 to 9 of p end cell equals cell sum from k equals 16 to 32 of 16 end cell row cell 2 open square brackets 1 squared plus 2 squared plus 3 squared plus 4 squared plus 5 squared plus 6 squared close square brackets plus 3 left parenthesis 6 cross times p right parenthesis end cell equals cell left parenthesis 17 cross times 16 right parenthesis end cell row cell 2 left parenthesis 1 plus 4 plus 9 plus 16 plus 25 plus 36 right parenthesis plus 3 left parenthesis 6 p right parenthesis end cell equals 272 row cell 2 left parenthesis 91 right parenthesis plus 18 p end cell equals 272 row cell 182 plus 18 p end cell equals 272 row cell 18 p end cell equals 90 row p equals 5 row blank blank blank end table

Jadi, nilai p yang memenuhi adalah 5.

 

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