Question

Cho S = 1 2 + 1 6 + 1 12 + 1 20 + 1 30 + 1 42 . So sánh S với 1.

Answer 1

S = 1 2 + 1 6 + 1 12 + 1 20 + 1 30 + 1 42 = 1 1.2 + 1 2.3 + 1 3.4 + 1 4.5 + 1 5.6 + 1 6.7 = 1 − 1 2 + 1 2 − 1 3 + 1 3 − 1 4 + 1 4 − 1 5 + 1 5 − 1 6 + 1 6 − 1 7 = 1 − 1 7 < 1

So sánh: S < 1.