addition

Question

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

a)100/101

b)50/101

c)100/51

d)50/51

Answer 1

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

Comments

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

how did u get this?

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ans should be also divided with 2

so ans should be 50/101

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now corrected

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well explained.