Prove the following by using the princip...

Prove the following by using the principle of mathematical induction for all `n in N`
`1+2+3+…….+n lt 1/8 (2n+1)^2`

PRINCIPLE OF MATHEMATICAL INDUCTION
KUMAR PRAKASHAN|Exercise PRACTICE WORK|20 Videos
PRINCIPLE OF MATHEMATICAL INDUCTION
KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|10 Videos
PERMUTATIONS AND COMBINATIONS
KUMAR PRAKASHAN|Exercise PRACTICE WORK |40 Videos
PROBABILITY
KUMAR PRAKASHAN|Exercise PRACTICE WORK|40 Videos

Similar Questions

Explore conceptually related problems

Prove the following by using the principle of mathematical induction for all n in N 3^n gt 2^n

Prove the following by using the principle of mathematical induction for all n in N 4+8 + 12 + …….+4n = 2n (n+1)

Prove the following by using the principle of mathematical induction for all n in N (2n+1) lt 2^n , n >= 3

Prove the following by using the principle of mathematical induction for all n in N (2n+7) lt (n+3)^2

Prove the following by using the principle of mathematical induction for all n in N (1+x)^n lt= (1+nx)

Prove the following by using the principle of mathematical induction for all n in N 1 + 2 + 2^2 + …..+2^n = 2^(n+1) -1

Prove the following by using the principle of mathematical induction for all n in N 1^2 +3 ^2 + 5^2 +………..+ (2n-1)^2 = (n(2n - 1)(2n+1))/(3)

Prove the following by using the principle of mathematical induction for all n in N 1/2 + 1/4 + 1/8+ ……..+ (1)/(2^n) = 1 - (1)/(2^n)

Prove the following by using the principle of mathematical induction for all n in N 1+3+3^2 +…………+3^(n-1) = (3^n -1)/(2)

Prove the following by using the principle of mathematical induction for all n in N (1)/(n+1) + (1)/(n+2) +…..1/(2n) gt 13/24, n gt 1