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addition

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1/3 + 1/15 + 1/35 +............................+1/9999

1/2[(1 - 1/3) + (1/3 - 1/5) + (1/5- 1/7) +..............+ (1/99 - 1/101)]

=1/2[1 - 1/101] (after adding all term will cancel except 1st and last)

=50/101
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