This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 4 Principle Of Mathematical Induction – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 4 Principle Of Mathematical Induction Quiz 1 (6 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the mathematical term for the second condition of the principle of mathematical induction? A) First case. B) Inductive case. C) Introductory case. D) Base case. Show Answer Correct Answer: B) Inductive case. 2. What is the first step in Mathematical Induction? A) N=k. B) P(k). C) P(1). D) P(k+1). Show Answer Correct Answer: C) P(1). 3. 1 + 3 + 5 + 7 + ..... + (2n-1) = n$^{2 }$On the basis of this assumption, [The statement is true for n = k:1 + 3 + 5 + 7 + ..... + (2k-1) = k$^{2}$]What must we show next? A) The statement is true for n = 1:(2)(1)-1 = 1$^{2}$. B) The statement is true for n = k:1 + 3 + 5 + 7 + + (2k-1) = k$^{2}$. C) The statement is true for n = k + 1:1 + 3 + 5 + 7 + + (2k-1) + (2k + 1) = (k + 1)$^{2}$. D) None of the above. Show Answer Correct Answer: C) The statement is true for n = k + 1:1 + 3 + 5 + 7 + + (2k-1) + (2k + 1) = (k + 1)$^{2}$. 4. In the principle of mathematical induction, what is the term for the first condition? A) Introductory case. B) Base case. C) First case. D) Inductive case. Show Answer Correct Answer: B) Base case. 5. What is the third step in Mathematical induction? A) P(1). B) P(k). C) P(k+1). D) N=k. Show Answer Correct Answer: C) P(k+1). 6. 1 + 3 + 5 + 7 + ..... + (2n-1) = n$^{2}$To prove this by mathematical induction, what will be the induction assumption? A) The statement is true for n = k:1 + 3 + 5 + 7 + + (2k-1) = k$^{2}$. B) The statement is true for n = 1:(2)(1)-1 = 1$^{2}$. C) The statement is true for n = k + 1:1 + 3 + 5 + 7 + + (2k-1) + (2k + 1) = (k + 1)$^{2}$. D) None of the above. Show Answer Correct Answer: A) The statement is true for n = k:1 + 3 + 5 + 7 + + (2k-1) = k$^{2}$. Related QuizzesScience QuizzesClass 11 QuizzesClass 11 Mathematics Chapter 1 Sets QuizClass 11 Mathematics Chapter 10 Straight Lines QuizClass 11 Mathematics Chapter 11 Conic Sections QuizClass 11 Mathematics Chapter 12 Introduction To Three Dimensional Geometry QuizClass 11 Mathematics Chapter 13 Limits And Derivatives QuizClass 11 Mathematics Chapter 14 Mathematical Reasoning QuizClass 11 Mathematics Chapter 15 Statistics QuizClass 11 Mathematics Chapter 16 Probability Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books