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Mathematical Induction — Practice Quiz

Telangana Open School (TOSS) · Class 12 · Mathematics

Try a 4-question quiz on Mathematical Induction for Telangana Open School (TOSS) Class 12 Mathematics: tap an answer to check it and see why.

48 questions24 flashcards9 formulas & key relations4 concepts

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Quick Quiz: Mathematical Induction

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

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)?

Show answer

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)?

Show answer

1 = 1

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

+44 more questions on Mathematical Induction (Telangana Open School (TOSS) Class 12 Mathematics)

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Frequently Asked Questions

What are the important topics in Mathematical Induction for Telangana Open School (TOSS) Class 12 Mathematics?
Key topics in Mathematical Induction include Understanding Statements and Notation, Principle of Mathematical Induction, Types of Problems Solved by Induction. Study these first, then practise questions on each for the Telangana Open School (TOSS) Class 12 board exam.
How many practice questions are there for Mathematical Induction?
There are 48 questions on Mathematical Induction. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

More resources for Mathematical Induction

All Telangana Open School (TOSS) Class 12 Mathematics Practice Quiz

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