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Mathematics
Luka Reynolds
7 January, 18:24
Whats 1/99.100 - 1/99.98 - 1/98.97 - ... - 1/2.1
+1
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1
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Marissa Wise
7 January, 21:27
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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