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Previous year question hub

Mathematical Induction - Algebra - Mathematics Previous Year Questions

Practice Mathematical Induction - Algebra - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

3Papers
3Years
3Questions
1Topics

Mathematical Induction question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Mathematical Induction. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 2 66.7%
Easy 1 33.3%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 3 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
3 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
3 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Mathematical Induction
3 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

AIEEE 2005
1 Qs
AIEEE 2004
1 Qs
AIEEE 2002
1 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
AIEEE 200520051View paper
AIEEE 200420041View paper
AIEEE 200220021View paper

All Mathematical Induction previous year questions

Practice every matching question in batches of 20, with every available option.

1
2002 · Mathematics · Algebra · Mathematical Induction
AIEEE 2002
If \({a_n} = \sqrt {7 + \sqrt {7 + \sqrt {7 + .......} } }\) having \(n\) radical signs then by methods of mathematical induction which is true
A
\({a_n} > 7\,\,\forall \,\,n \ge 1\)
B
\({a_n} < 7\,\,\forall \,\,n \ge 1\)
C
\({a_n} < 4\,\,\forall \,\,n \ge 1\)
D
\({a_n} > 3\,\,\forall \,\,n \ge 1\)
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2
2004 · Mathematics · Algebra · Mathematical Induction
AIEEE 2004
Let \(S(K)\) \(= 1 + 3 + 5... + \left( {2K - 1} \right) = 3 + {K^2}.\) Then which of the following is true
A
Principle of mathematical induction can be used to prove the formula
B
\(S\left( K \right) \Rightarrow S\left( {K + 1} \right)\)
C
\(S\left( K \right) \ne S\left( {K + 1} \right)\)
D
\(S\left( 1 \right)\) is correct
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3
2005 · Mathematics · Algebra · Mathematical Induction
AIEEE 2005
If \(A = \left[ {\matrix{ 1 & 0 \cr 1 & 1 \cr } } \right]\) and \(I = \left[ {\matrix{ 1 & 0 \cr 0 & 1 \cr } } \right],\) then which one of the following holds for all \(n \ge 1,\) by the principle of mathematical induction?
A
\({A^n} = nA - \left( {n - 1} \right){\rm I}\)
B
\({A^n} = {2^{n - 1}}A - \left( {n - 1} \right){\rm I}\)
C
\({A^n} = nA + \left( {n - 1} \right){\rm I}\)
D
\({A^n} = {2^{n - 1}}A + \left( {n - 1} \right){\rm I}\)
Open complete paper