Home
Class 11
MATHS
Let P(n) be the statement: 2^n >= 3n. I...

Let `P(n)` be the statement: `2^n >= 3n`. If `P(r)` is true, show that `P (r + 1)` is true. Do you conclude that `P(n)` is true for all `n in N`

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise EXERCISE-4(b)(Short Answer Type Questions)|2 Videos

  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise EXERCISE-4(b)(Long Answer Type Questions-I)|9 Videos

  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise Frequently Asked Questions Example|14 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

Let P(n) be the statement : 2^(n)gt 1 . Is P(1) true ?

Let P(n) be the statement 3^(n)>n. If P(n) is true,P(n+1) is also true.

If P(n) is the statement 2^(n)>=3n, and if P(r) is true,prove that P(r+1) is true.

Let P(n) be the statement : 10n + 3 is prime. Is P(3) true ?

Let P (n) be the statement 2^(n) ge n . When P (r) is true, then is it true that P (r + 1) is also true ?

Let P(n) be the statement : 3^(n)gt n What is P(n+1) ?

Let P(n) be the statement : n^(2) +n is even Is P(n) true for all ninN ?

Let P(n) be the statement: C_(r)len! for 1le r le n Is P(3) true ?

If P(n) is the statement n^(2)+n is even,and if P(r) is true then P(r+1) is true.

Let P (n) be the statement. “ P (n) = 16 n + 3 is prime. Is P (3) true ?