1
IIT-JEE 2010 Paper 1 Offline
Numerical
+4
-0
Let $${S_k}$$= 1, 2,....., 100, denote the sum of the infinite geometric series whose first term is $$\,{{k - 1} \over {k\,!}}$$ and the common ratio is $${1 \over k}$$. Then the value of $${{{{100}^2}} \over {100!}}\,\, + \,\,\sum\limits_{k = 1}^{100} {\left| {({k^2} - 3k + 1)\,\,{S_k}} \right|\,\,} $$ is
Your input ____
2
IIT-JEE 2010 Paper 2 Offline
Numerical
+4
-0
Let $${a_1},\,{a_{2\,}},\,{a_3}$$......,$${a_{11}}$$ be real numbers satisfying $${a_1} = 15,27 - 2{a_2} > 0\,\,and\,\,{a_k} = 2{a_{k - 1}} - {a_{k - 2}}\,\,for\,k = 3,4,........11$$. if $$\,\,\,{{a_1^2 + a_2^2 + a_{11}^2} \over {11}} = 90$$, then the value of $${{{a_1} + {a_2} + .... + {a_{11}}} \over {11}}$$ is equal to
Your input ____
3
IIT-JEE 1990
Numerical
+4
-0
If $${\log _3}\,2\,,\,\,{\log _3}\,({2^x} - 5)\,,\,and\,\,{\log _3}\,\left( {{2^x} - {7 \over 2}} \right)$$ are in arithmetic progression, determine the value of x.
Your input ____
Questions Asked from Sequences and Series (Numerical)
Number in Brackets after Paper Indicates No. of Questions
JEE Advanced 2022 Paper 1 Online (1)
JEE Advanced 2020 Paper 1 Offline (2)
JEE Advanced 2019 Paper 1 Offline (1)
JEE Advanced 2018 Paper 1 Offline (1)
JEE Advanced 2017 Paper 1 Offline (1)
JEE Advanced 2015 Paper 2 Offline (2)
JEE Advanced 2014 Paper 1 Offline (1)
JEE Advanced 2013 Paper 1 Offline (2)
IIT-JEE 2011 Paper 1 Offline (1)
IIT-JEE 2010 Paper 1 Offline (1)
IIT-JEE 2010 Paper 2 Offline (1)
IIT-JEE 1990 (1)
JEE Advanced Subjects
Physics
Mechanics
Units & Measurements
Motion
Laws of Motion
Work Power & Energy
Impulse & Momentum
Rotational Motion
Properties of Matter
Heat and Thermodynamics
Simple Harmonic Motion
Waves
Gravitation
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Some Basic Concepts of Chemistry
Structure of Atom
Redox Reactions
Gaseous State
Equilibrium
Solutions
States of Matter
Thermodynamics
Chemical Kinetics and Nuclear Chemistry
Electrochemistry
Solid State & Surface Chemistry
Inorganic Chemistry
Periodic Table & Periodicity
Chemical Bonding & Molecular Structure
Isolation of Elements
Hydrogen
s-Block Elements
p-Block Elements
d and f Block Elements
Coordination Compounds
Salt Analysis
Organic Chemistry
Mathematics
Algebra
Quadratic Equation and Inequalities
Sequences and Series
Mathematical Induction and Binomial Theorem
Matrices and Determinants
Permutations and Combinations
Probability
Vector Algebra and 3D Geometry
Complex Numbers
Trigonometry
Coordinate Geometry
Calculus