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15 August, 04:45

Whats 1/99.100 - 1/99.98 - 1/98.97 - ... - 1/2.1

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  1. 15 August, 04:54
    0
    -9799/9900

    Step-by-step explanation:

    1 / (99*100) - [1/2.1 + 1/3.2 + ... 1/99.98]

    1/2.1 + 1/3.2 + ... 1/99.98

    1 ((n+1) (n) = 1/n - 1 / (n+1)

    Sum from n=1 till n=98

    1 / (99*100) - [1 - 1/99]

    1 / (99*100) - 98/99

    (1 - 9800) / 9900

    -9799/9900
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