Question

Example 7 Prove that
3
n
12 +2²+ ... + n >
,ne N
ηε
3​

Answer 1

Step-by-step explanation:

Let P(n) : 1 sq + 2 sq + ...+ n sq > n cuboid/3 , nEN

For n = 1

L.H.S = 1 sq = 1

R.H.S = 1 cuboid/3 = 1/3

Since 1 > 1/3

L.H.S > R.H.S

So, P(n) is true for n = 1