Tentukan nilai dari (-⅟₂) ( 1- 1/3 ) (1-⅟₄) ... ( 1- 1/1999 ) + ( 1+ ⅟₃) ( 1 + ¼ ) ..... ( 1 + 1/1000 ) .
Matematika
riztakusuma
Pertanyaan
Tentukan nilai dari (-⅟₂) ( 1- 1/3 ) (1-⅟₄) ... ( 1- 1/1999 ) + ( 1+ ⅟₃) ( 1 + ¼ ) ..... ( 1 + 1/1000 ) .
1 Jawaban
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1. Jawaban GaemKyu
(-1/2)(2/3)(3/4)..(1998/1999) + (4/3)(5/4)..(1001/1000) =
(-1/1999) + (1001/3) = (-3+2000999)/5997 = 2000996/5997 = 333 + 3995/5997