Question
1/3 + 1/15 + 1/35 + 1/63 + 1/99 = ?
Solution
1/3 + 1/15 + 1/35 + 1/63 + 1/99 = ? = 1/(1 x 3) + 1/(3 x 5) + 1/(5 x 7) + 1/(7 x 9) + 1/(9 x 11) = 1/(difference) `xx` (1/T1 -1/Tlast) = 1/2 x (1 - 1/11) = (11 - 1)/22 = 5/11
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