Question

5/1.6 +5/6.11 + ...... + 5/101.106

Answer 1

= 1 - 1/6 + 1/6 - 1/11 + ... + 1/101 - 1/106

= 1 - 1/106

= 105/106

Answer 2

Ta có:\(\frac{5}{1.6}+\frac{5}{6.11}+........+\frac{5}{101.106}\)

=\(1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+..........+\frac{1}{101}-\frac{1}{106}\)

=\(1-\frac{1}{106}\)

=\(\frac{105}{106}\)

Answer 3

Gọi A= 5/1.6+5/6.11+5/11.16+....+5/101.106

Ta cóA= 5-5/6 +5/6-5/11+5/11-5/16+....+5/101-5/106

Đơn giản còn lại

A= 5-5/106

=525/106

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Thấy đúng hông?

Answer 4

5/1.6+5/6.11+..............+5/101.106

=1-1/6+1/6-1/11  +..........+1/101.1/106

=1-1/106

=105/106