jdariussnell jdariussnell

21-03-2020
Mathematics

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

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amna04352 amna04352

21-03-2020

Answer:

-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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