Mathematical Induction — Important Questions
Telangana Open School (TOSS) · Class 12 · Mathematics
48 important questions from Mathematical Induction for Telangana Open School (TOSS) Class 12 Mathematics, with answers. Written for the board exams 2027.
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Important Questions from Mathematical Induction
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.
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.
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.
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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