Home
Class 11
MATHS
Prove that 2n +1 lt 2^(n) for all natura...

Prove that `2n +1 lt 2^(n)` for all natural numbers `n ge3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|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 that 2nlt(n+2)! for all natural numbers n.

prove that n^(2)lt2^(n) , for all natural number n≥5 .

Prove that 7 is a factor of 2^(3n)-1 for all natural numbers n.

For a gt 01 , prove thjat (1+a)^(n) ge (1+an) for all natural numbers n.

prove that 2+4+6+…2n=n^(2)+n , for all natural numbers n.

Prove that (1+x)^(n)>=(1+nx) for all natural number n,where x>-1

prove that 3^(2n)-1 is divisible by 8, for all natural numbers n.

prove that 1+5+9+ . . .+(4n-3)=n(2n-1), for all natural number n.

Is 2^(3-n) a prime number for all natural numbers n?