Question

用數(shù)學(xué)歸納法證明不等式(n≥2且n∈N^*).

(1)當(dāng)n=2時(shí),不等式的左邊為___________;

(2)當(dāng)n=3時(shí),不等式的左邊為___________;

(3)第二步從“k”到“k+1”的證明中,不等式左邊增添的代數(shù)式是___________

Answer 1

思路解析:(1)當(dāng)n=2時(shí),不等式的左邊為+(兩項(xiàng)之和);

(2)當(dāng)n=3時(shí),不等式的左邊為++(三項(xiàng)之和);

……

(3)當(dāng)n=k時(shí),不等式的左邊為(k項(xiàng)之和);

而當(dāng)n=k+1時(shí),,則從“k”到“k+1”的證明中,不等式左邊增添的代數(shù)式為.

答案: