Question

[dinhkhachoang]

TINH

1/1.2+1/2.3+......+1/99.100

TICK MK NHA M BN

Answer 1

[Đinh Đức Hùng]

\(\frac{1}{1.2}+\frac{1}{2.3}+....+\frac{1}{99.100}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{99}-\frac{1}{100}\)

\(=1-\frac{1}{100}=\frac{99}{100}\)

Answer 2

[dinhkhachoang]

=1/1.2+1/2.3+..+1/99.100

=1-1/3+1/2-1/3+.....+1/99-1/100

=1/100-1

=99/100