Loading…

Mathematical Induction JEE Main PYQs (2002–2005) with Solutions — Mathematics | JEE Arc

Mathematics JEE Main PYQs

Mathematical Induction

Historical chapter, outside the current JEE Main unit list. The older questions stay here for reference.

About 1.0 questions a year across 3 years of papers, each with a full worked solution.

Questions per year

1’02

1’04

1’05

Q01JEE Main 2002Annual, Paper 1EasyMathematical Induction3× since 2002

{a_n} = \sqrt {7 + \sqrt {7 + \sqrt {7 + .......} } }

having

n

radical signs then by methods of mathematical induction which is true

Q02JEE Main 2004Annual, Paper 1MediumMathematical Induction3× since 2002

Let

S(K)

= 1 + 3 + 5... + \left( {2K - 1} \right) = 3 + {K^2}.

Then which of the following is true

Q03JEE Main 2005Annual, Paper 1MediumMathematical Induction3× since 2002

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?