Prove, by Induction, that 2^(n)ltn!for a...

Prove, by Induction, that `2^(n)ltn!`for all `nge4`

Answer

Step by step text solution for Prove, by Induction, that 2^(n)ltn!for all nge4 by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

MATHEMATICAL INDUCTION
MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos
MATHEMATICAL INDUCTION
MODERN PUBLICATION|Exercise CHAPTER TEST 4|12 Videos
MATHEMATICAL INDUCTION
MODERN PUBLICATION|Exercise Exercise|10 Videos
LINEAR INEQUATIONS
MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
MATHEMATICAL REASONING
MODERN PUBLICATION|Exercise CHAPTER TEST 14|12 Videos

Similar Questions

Explore conceptually related problems

Prove,by induction,that 3^(n)>n for all n in N

Prove by induction that : 2^(n) gt n for all n in N .

Prove by induction that 4+8+12++4n=2n(n+1) for all nN.

Prove by the principle of mathematical induction that n<2^(n) for alln in N

Using the principle of mathematical induction, prove that n<2^(n) for all n in N

Prove,by induction,that 8*7^(n)+4^(n+2) is divisible by 24 but not by 48 for all n in N in N in N

Using the principle of mathematical induction, prove that (n^(2)+n) is seven for all n in N .

Prove by induction that the integer next greater than (3+sqrt(5))^n is divisible by 2^n for all n in N .

Prove by mathematical induction that, 2n+7lt(n+3)^(2) for all ninNN .

Using the principle of mathematical induction prove that (1+x)^(n)>=(1+nx) for all n in N, where x>-1

MODERN PUBLICATION-MATHEMATICAL INDUCTION-Revision Exercise

Prove, by Induction, that 2^(n)ltn!for all nge4
03:54
|
The number of all possible subsets of a set containing n elements ?
02:48
|
Let P(n) denote the statement: 2^(n)ge n!.Show that P(1),P(2),P(3) are...
01:23
|
Prove the following by using the principle of mathematical induction ...
04:48
|
Using mathematical induction prove that x+4x+7x+......+(3n-2)x=(1)/(2)...
04:26
|
Prove by PMI that 1.2+ 2.3+3.4+....+ n(n+1) =((n)(n+1)(n+2))/3, AA n i...
03:48
|
1. 2 .3+2. 3 .4++n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/4
05:37
|
Prove the following by the principle of mathematical induction: 7+7...
10:17
|
Prove by the principle of mathematical induction, that 1.1!+2.2!+3.3...
02:03
|
Prove that for n in N ,10^n+3. 4^(n+2)+5 is divisible by 9 .
04:25
|
By Mathematical Induction, prove the following: (i) (4^(n) + 15n - 1) ...
11:11
|
For all positive integer n , prove that (n^7)/7+(n^5)/5+2/3n^3-n/(105)...
04:53
|
Let U1=1,\ U2=1\ a n d\ U(n+2)=U(n+1)+Unfor\ ngeq1. use mathematical i...
10:34
|
Using the principle of Mathematical Induction, prove that forall nin N...
05:52
|