Converge?
Algebra
Level
2
Let \(\Large{S}\) = \(\dfrac{1}{1.2} + \dfrac{1}{2.3} + .......... + \dfrac{1}{99.100}\)
\(\Large{S}\) can be expressed as \(\frac{a}{b}\), where \(a,b\) are co-prime integers.
Find \(b-a\).
NOTE -: \(a.b = a \times b\)
by
Harsh Shrivastava