Related InterviewSolutions

• What will be P(k + 1) for P(n) = n^3 (n + 1)?(a) (k + 1)^4(b) k^4 + 5k^3 + 9k^2 + 7k + 2(c) k^4 + 6k^3 + 9k^2 + 7k + 2(d) k^4 + 3k^3 + 9k^2 + 6k + 2I have been asked this question in my homework.I would like to ask this question from The Principle of Mathematical Induction in section Principle of Mathematical Induction of Mathematics – Class 11
• For principle of mathematical induction to be true, what type of number should ‘n’ be?(a) Whole number(b) Natural number(c) Rational number(d) Any form of numberThe question was posed to me by my college professor while I was bunking the class.Query is from The Principle of Mathematical Induction in chapter Principle of Mathematical Induction of Mathematics – Class 11
• n^3 + 5n is divisible by which of the following?(a) 3(b) 5(c) 7(d) 11The question was asked in unit test.This is a very interesting question from The Principle of Mathematical Induction topic in chapter Principle of Mathematical Induction of Mathematics – Class 11
• State whether the following series is true or not.(a) }{2}\)(b) True(c) FalseThis question was posed to me in exam.My doubt is from The Principle of Mathematical Induction topic in division Principle of Mathematical Induction of Mathematics – Class 11
• What would be the hypothesis of mathematical induction for n(n + 1) < n! (where n ≥ 4) ?(a) It is assumed that at n = k, k(k + 1)! > k!(b) It is assumed that at n = k, k(k + 1)! < k!(c) It is assumed that at n = k, k(k + 1)! > (k + 1)!(d) It is assumed that at n = k, (k + 1)(k + 2)! < k!The question was posed to me in a national level competition.The query is from The Principle of Mathematical Induction topic in portion Principle of Mathematical Induction of Mathematics – Class 11
• If P(k) = k^2 (k + 3) (k^2 – 1) is true, then what is P(k + 1)?(a) (k + 1)^2 (k + 3) (k^2 – 1)(b) (k + 1)^2 (k + 4) (k^2 – 1)(c) (k + 1)^2 (k + 4) k (k + 2)(d) (k + 1) (k + 4) k (k +2)I had been asked this question in unit test.Asked question is from The Principle of Mathematical Induction in portion Principle of Mathematical Induction of Mathematics – Class 11
• n^2 + 3n is always divisible by which number, provided n is an integer?(a) 2(b) 3(c) 4(d) 5I had been asked this question in my homework.The doubt is from The Principle of Mathematical Induction topic in chapter Principle of Mathematical Induction of Mathematics – Class 11
• P(n) = n(n^2 – 1). Which of the following does not divide P(k+1)?(a) k(b) k + 2(c) k + 3(d) k + 1This question was posed to me in class test.My question is from The Principle of Mathematical Induction in division Principle of Mathematical Induction of Mathematics – Class 11
• If 10^3n + 2^4k + 1. 9 + k, is divisible by 11, then what is the least positive value of k?(a) 7(b) 6(c) 8(d) 10I have been asked this question at a job interview.I would like to ask this question from The Principle of Mathematical Induction topic in portion Principle of Mathematical Induction of Mathematics – Class 11
• By principle of mathematical induction, 2^4n-1 is divisible by which of the following?(a) 8(b) 3(c) 5(d) 7I have been asked this question in unit test.Enquiry is from The Principle of Mathematical Induction in section Principle of Mathematical Induction of Mathematics – Class 11