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Recent questions tagged mathematical induction
+2
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1
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A two digit number is to be formed from the digits 0,1,2,3,4, without repetition of the digits.
asked
Apr 4, 2019
in
Mathematics
by
kratos
combinatorics
class-11
probability
class-9
class-10
permutations and combinations
mathematical induction
class-12
+3
votes
1
answer
Prove by the principle of mathematical induction: 1.2 + 2.3 + 3.4 + … + n(n + 1) = [n(n + 1) (n + 2)]/3
asked
Apr 3, 2019
in
Mathematics
by
kratos
class-11
mathematical induction
+2
votes
1
answer
Number of permutations 1, 2, 3, 4, 5, 6, 7, 8 and 9 taken all at a time are such that the digit.
asked
Apr 1, 2019
in
Mathematics
by
kratos
combinatorics
class-11
permutations and combinations
class-9
mathematical induction
bitsat
+3
votes
1
answer
In how many of the distinct permutations of the letters in MISSISSIPPI do the four I’* not come together?
asked
Mar 31, 2019
in
Mathematics
by
kratos
combinatorics
class-11
permutations and combinations
permutations
mathematical induction
class-12
+3
votes
1
answer
If f(x) = Π (x - n)^n(101 - n) for n ∈ [1, 100], where Πai for i ∈ [1, k] stands for product a1 .a2 .......... ak , then f(101)/f'(101) =
asked
Mar 30, 2019
in
Mathematics
by
kratos
principle of mathematical induction
limits
class-11
jee
definite integral
jee mains
mathematical induction
binomial theorem
+3
votes
1
answer
Let f(x) = cos^2x + cos^22x + cos^23x. Number of values of x ∈[0,p] for which f(x) equals the smallest positive integer is
asked
Mar 30, 2019
in
Mathematics
by
kratos
isc
class-11
kvpy
icse
mathematical induction
rmo
class-12
basic algebra
+1
vote
1
answer
By Principle of Mathematical Induction, prove that for all n ∈ N a + ar + ar^2 + ..... n terms = {a(r^n-1)}/(r-1), if r ≠ 1
asked
Mar 25, 2019
in
Mathematics
by
kratos
principle of mathematical induction
class-11
jee
jee mains
mathematical induction
+3
votes
1
answer
Prove by using the principle of mathematical induction for all n ∈ N
asked
Mar 25, 2019
in
Mathematics
by
kratos
mathematical induction
+3
votes
1
answer
If n is a positive integer, then n^3 + 2n is divisible by :
asked
Mar 23, 2019
in
Mathematics
by
kratos
jee
class-10
jee mains
mathematical induction
binomial theorem
bitsat
+2
votes
1
answer
Find ‘n’ if nC7 = nC6
asked
Mar 22, 2019
in
Mathematics
by
kratos
combinatorics
class-11
jee
permutations and combinations
jee mains
mathematical induction
class-12
+3
votes
1
answer
Prove the following by using the principle of mathematical induction for all n ∈ N: x^2n – y^2n is divisible by x + y.
asked
Mar 18, 2019
in
Mathematics
by
kratos
class-11
mathematical induction
+1
vote
1
answer
If 1, a1, a2,.....,an-1 are the n roots of unity, then show that (1 - a1) (1 - a2) (1 - a3)... (1 - an-1) = n
asked
Mar 18, 2019
in
Mathematics
by
kratos
class-11
jee
arithmetic progression
class-10
jee mains
mathematical induction
complex numbers
+1
vote
1
answer
In how many ways can the letters of the word ************* be arranged so that all the *'* are together?
asked
Mar 14, 2019
in
Mathematics
by
kratos
permutations and combinations
class-11
combinatorics
mathematical induction
+3
votes
1
answer
Write all the possible three digit numbers using the digits 3, 6 and 8 only; if the repetition of digits is not allowed.
asked
Mar 11, 2019
in
Mathematics
by
kratos
combinatorics
number system
class-11
class-6
permutations and combinations
class-9
icse
jee mains 2019
mathematical induction
+1
vote
1
answer
For n ∈ N, 3^2n + 2 – 2^3 n – 9 is divisible by (a) 3 (b) 9 (c) 64
asked
Mar 10, 2019
in
Mathematics
by
kratos
principle of mathematical induction
class-11
jee
class-10
jee mains
mathematical induction
+3
votes
1
answer
Out of 18 points in a plane, no three are in the same line except five points which are collinear.
asked
Mar 10, 2019
in
Mathematics
by
kratos
combinatorics
class-11
jee
permutations and combinations
class-9
jee mains
mathematical induction
+2
votes
1
answer
If all letters of the word MAHIMA are written in all possible ways and then are arranged as in a dictionary,
asked
Mar 8, 2019
in
Mathematics
by
kratos
combinatorics
class-11
jee
permutations and combinations
jee mains
mathematical induction
+3
votes
1
answer
Consider the state space model of a system, as given below [(x1, x2, x3)] = [(-1, 1, 0), (0, - 1, 0), (0, 0, -2)]
asked
Mar 8, 2019
in
Mathematics
by
kratos
class-11
jee mains
class-12
mathematical induction
jee main 2020
jee
coordinate geometry
+1
vote
1
answer
Using the principle of mathematical induction for all n ∈ N, Prove that 1.2 + 2.3 + 3.4 +…+ n.(n+1) = n(n + 1)(n + 2)/3
asked
Mar 7, 2019
in
Mathematics
by
kratos
mathematical induction
+1
vote
1
answer
If the letters of the word RACHIT are arranged in all possible ways as listed in dictionary
asked
Mar 4, 2019
in
Mathematics
by
kratos
combinatorics
class-11
jee
permutations and combinations
jee mains
mathematical induction
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