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Mathematical Induction

Telangana Open School (TOSS) · Class 12 · Mathematics

Practice quiz for Mathematical Induction — Telangana Open School (TOSS) Class 12 Mathematics. MCQs and questions with answers to test your preparation.

48 questions24 flashcards4 concepts

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Quick Quiz: Mathematical Induction

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1

Which of the following is a statement?

2

Let p(n) be the statement: 1 + 2 + 3 + ... + n = n(n+1)/2. What is p(1)?

3

Which of the following is NOT a statement?

4

If p(n): 2^n > n, what is p(2)?

48 Questions·
multiple choicemultiple correct

Sample Questions

1multiple choice
1 marks

The principle of mathematical induction is used to prove statements about:

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Natural numbers

Mathematical induction is a method to prove statements involving natural numbers.

2multiple choice
1 marks

If p(n): n^2 > n, what is p(1)?

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1 > 1

For n=1, n^2 = 1, so 1 > 1 is the statement.

3multiple choice
1 marks

The first step in mathematical induction is to verify the statement for:

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n = 1

The base case in induction is usually n=1.

4multiple choice
1 marks

If p(n): 1 + 3 + 5 + ... + (2n-1) = n^2, what is p(1)?

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1 = 1

For n=1, LHS = 1, RHS = 1^2 = 1, so 1=1.

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Frequently Asked Questions

What are the important topics in Mathematical Induction for Telangana Open School (TOSS) Class 12 Mathematics?
Mathematical Induction covers several key topics that are frequently asked in Telangana Open School (TOSS) Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Mathematical Induction — Telangana Open School (TOSS) Class 12 Mathematics?
Understand the core concepts first, then work through the 48 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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