Matematika Sekolah Menengah Atas — Quiz —Soalnya simple dan easy. Tentukan hasil dari:[tex] \large \bf \frac{1}{1 \times 3} + \frac{1}{3 \times 5} + \frac{1}{5 \times 7} + · · · + \frac{1}{2015 \times 2017} [/tex]​

bellekoeppulv – April 11, 2023

— Quiz —
Soalnya simple dan easy. Tentukan hasil dari:
[tex] \large \bf \frac{1}{1 \times 3} + \frac{1}{3 \times 5} + \frac{1}{5 \times 7} + · · · + \frac{1}{2015 \times 2017} [/tex]
​

ALjbar

[tex]\sf \frac{1}{1x3}+ \frac{1}{3x5}+\frac{1}{5x7}+\cdots..+\frac{1}{2015x2017} =P[/tex]

[tex]\sf P= 1\cancel{- \frac{2}{3} + \frac{2}{3}- \frac{3}{5}+ \frac{3}{5}-\frac{4}{7}+\cdots+\frac{1008}{2105}}-\frac{1009}{2017}[/tex]

[tex]\sf P = 1- \frac{1009}{2017} = \frac{1008}{2017}[/tex]

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