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CBSE XI
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Math
Math
Sets
Relations and Functions
Trigonometric Functions
Principle of Mathematical Induction
Complex Numbers and Quadratic Equations
Linear Inequalities
Permutations and Combinations
Binomial Theorem
Sequences and Series
Straight Lines
Conic Sections
Introduction to Three Dimensional Geometry
Limits and Derivatives
Mathematical Reasoning
Statistics
Probability
The sum of some terms of a G.P. is $315$ whose first term and the common ratio are $5$ and $2$ respectively. Find the last term and number of terms of the series.
cbse
class11
ch9
bookproblem
misc
sec-b
easy
q8
math
sequences-and-series
asked
Mar 30, 2014
by
rvidyagovindarajan_1
1
answer
If $f$ is a function satisfying $f(x+y)=f(x).f(y)\:\:\forall x,y\in N$ such that $f(1)=3\:\:and\:\:\displaystyle\sum ^{n}_{x=1} f(x)=120$, then find the value of $n$.
cbse
class11
ch9
bookproblem
misc
sec-b
medium
q7
math
sequences-and-series
asked
Mar 29, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of all two digit numbers which when divided by $4$ yields $1$ as remainder.
cbse
class11
ch9
bookproblem
misc
sec-b
easy
q6
math
sequences-and-series
asked
Mar 29, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of all the integers from $1$ and $100$ that are divisible by $2$ or $5$.
cbse
class11
ch9
bookproblem
misc
medium
sec-b
q5
math
sequences-and-series
asked
Mar 29, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of all the numbers between $200$ and $400$ which are divisible by $7$.
cbse
class11
ch9
bookproblem
misc
medium
sec-b
q4
math
sequences-and-series
asked
Mar 28, 2014
by
rvidyagovindarajan_1
1
answer
If the sum of $n,2n\:and\:3n$ terms of an A.P. are $S_1,S_2\:and\:S_3$ respectively, then show that $S_3=3(S_2-S_1)$
cbse
class11
ch9
bookproblem
misc
medium
sec-b
q3
math
sequences-and-series
asked
Mar 28, 2014
by
rvidyagovindarajan_1
1
answer
If the sum of three numbers in A.P. is $24$ and their product is $440$, then find the numbers.
cbse
class11
ch9
bookproblem
misc
easy
sec-b
q2
math
sequences-and-series
asked
Mar 28, 2014
by
rvidyagovindarajan_1
1
answer
Show that the sum of $(m+n)^{th}$ and $(m-n)^{th}$ terms of an A.P is twice its $m^{th}$ term.
cbse
class11
ch9
misc
bookproblem
sec-a
easy
q1
math
sequences-and-series
asked
Mar 27, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $n$ terms of the series whose $n^{th}$ term is $(2n-1)^2$
cbse
class11
ch9
bookproblem
exercise9-4
sec-b
easy
q10
math
sequences-and-series
asked
Mar 27, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $n$ terms of the series whose $n^{th}$ term is given by $n^2+2^n$.
cbse
class11
ch9
bookproblem
exercise9-4
medium
sec-b
q9
math
sequences-and-series
asked
Mar 24, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $n$ terms of the series whose $n^{th}$ term is given by $n(n+1)(n+4)$
cbse
class11
ch9
bookproblem
exercise9-4
easy
sec-b
q8
math
sequences-and-series
asked
Mar 24, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum to $n$ terms of the series $1^2+(1^2+2^2)+(1^2+2^2+3^2)+........$
cbse
class11
ch9
bookproblem
exercise9-4
medium
sec-c
q7
math
sequences-and-series
asked
Mar 24, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $n$ terms of the series $(3\times 8)+(6\times 11)+(9\times 14).............$
cbse
class11
ch9
bookproblem
exercise9-4
sec-c
medium
q6
math
sequences-and-series
asked
Mar 13, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of 20 terms of the series. $5^2+6^2+7^2+.....20^2$
cbse
class11
ch9
math
exercise9-3
sec-b
easy
q5
sequences-and-series
asked
Mar 12, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum to $n$ terms of the series $\large\frac{1}{1\times 2}+\frac{1}{2\times 3}+\frac{1}{3\times 4}+..........$
cbse
class11
ch9
bookproblem
difficult
exercise9-4
sec-c
q4
math
sequences-and-series
asked
Mar 10, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $n$ terms of the series $3\times 1^2+5\times 2^2+7\times 3^2+.........$
cbse
class11
ch9
bookproblem
exercise9-4
sec-c
medium
q3
math
sequences-and-series
asked
Mar 7, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $n$ terms of the series $(1\times 2\times 3)+(2\times 3\times 4)+(3\times 4\times 5)+.......$
cbse
class11
ch9
bookproblem
exercise9-4
medium
sec-c
q2
math
sequences-and-series
asked
Mar 7, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $n$ terms of the series $1\times 2+2\times 3+3\times 4+4\times 5+.............$
cbse
class11
ch9
bookproblem
exercise9-4
sec-b
medium
q1
math
sequences-and-series
asked
Mar 7, 2014
by
rvidyagovindarajan_1
1
answer
If A.M. and G.M. of roots of a quadratic equation are $8$ and $5$ respectively. Find the quadratic equation.
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q32
math
sequences-and-series
asked
Mar 7, 2014
by
rvidyagovindarajan_1
1
answer
What will Rs. 500 amounts to in $10$ years after its deposit in a bank which pays annual interest of $10%$ compounded annually?
cbse
class11
ch9
bookproblem
exercise9-3
sec-b
easy
q31
math
sequences-and-series
asked
Mar 6, 2014
by
rvidyagovindarajan_1
1
answer
The number of bacteria in certain culture doubles every hour. If there were $30$ bacteria present in the culture originally, how many bacteria will be present at the end of $2^{nd}$ hour, $4^{th}$ hour and $n^{th}$ hour?
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q30
math
sequences-and-series
asked
Mar 6, 2014
by
rvidyagovindarajan_1
1
answer
$ the A.M. and $G$ the G.M. between two positive numbers then show that the numbers are $A\pm \sqrt {(A+G)(A-G)}$
cbse
class11
ch9
bookproblem
exercise9-3
sec-c
difficult
q29
math
sequences-and-series
asked
Mar 6, 2014
by
rvidyagovindarajan_1
1
answer
The sum of two numbers is $6$ times their geometric mean.Show that the ratio of the numbers is $3+2\sqrt 2\::\:3-2\sqrt 2$
cbse
class11
ch9
bookproblem
exercise9-3
difficult
sec-c
q28
math
sequences-and-series
asked
Mar 5, 2014
by
rvidyagovindarajan_1
1
answer
Find the value of $n$ so that $\large\frac{a^{n+1}+b^{n+1}}{a^n+b^n}$ may be the geometric mean between $a$ and $b$.
cbse
class11
ch9
bookproblem
exercise9-3
difficult
sec-c
q27
math
sequences-and-series
asked
Mar 4, 2014
by
rvidyagovindarajan_1
1
answer
Insert $2$ numbers between $3$ and $81$ so that the resulting sequence is a G.P. Find the two numbers.
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q26
math
sequences-and-series
asked
Mar 3, 2014
by
rvidyagovindarajan_1
1
answer
Insert $2$ numbers between $3$ and $81$ so that the resulting sequence is a G.P. Find the two numbers.
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q26
math
sequences-and-series
asked
Mar 3, 2014
by
rvidyagovindarajan_1
1
answer
If $a,b,c,d$ are in G.P, then show that $(a^2+b^2+c^2)(b^2+c^2+d^2)=(ab+bc+cd)^2$
cbse
class11
ch9
bookproblem
exercise9-3
medium
sec-b
q25
math
sequences-and-series
asked
Mar 3, 2014
by
rvidyagovindarajan_1
1
answer
Show that the ratio of the first $n$ terms of a G.P. to the sum of the terms from $(n+1)^{th}$ to $(2n)^{th}$ term is $1:r^n$
cbse
class11
ch9
bookproblem
exercise9-3
sec-b
medium
q24
math
sequences-and-series
asked
Mar 2, 2014
by
rvidyagovindarajan_1
1
answer
If the first and $n^{th}$ term of a G.P. are $a$ and $b$ respectively and if $P$ is the product of the $n$ terms then prove that $P^2=(ab)^n$
cbse
class11
ch9
bookproblem
exercise9-3
difficult
sec-b
q23
math
sequences-and-series
asked
Mar 2, 2014
by
rvidyagovindarajan_1
1
answer
If the $p^{th},q^{th}\:\:and\:\:r^{th}$ terms of G.P.are $a,b\:\:and\:\:c$ respectively then prove that $a^{q-r}.b^{r-p}.c^{p-q}=1$
cbse
class11
ch9
bookproblem
exercise9-3
sec-b
medium
q22
math
sequences-and-series
asked
Mar 1, 2014
by
rvidyagovindarajan_1
1
answer
Find the four numbers forming a G.P. in which the $3^{rd}$ term is greater than the $1^{st}$ term by $9$ and the $2^{nd}$ term is greater than the $4^{th}$ term by $18$.
cbse
class11
ch9
bookproblem
exercise9-3
medium
sec-b
q21
math
sequences-and-series
asked
Mar 1, 2014
by
rvidyagovindarajan_1
1
answer
Show that the product of the corresponding terms of the sequences $a,ar,ar^2.........ar^n$ and $A,AR,AR^2.............AR^{n-1}$ form a G.P. and find the common ratio.
cbse
class11
ch9
bookproblem
exercise9-3
medium
sec-a
q20
math
sequences-and-series
asked
Mar 1, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of the products of the corresponding terms of the sequences $2,4,8,.......32$ and $128,32,8,......\large\frac{1}{2}$
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
medium
q19
math
sequences-and-series
asked
Mar 1, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum to $n$ terms of the sequence $8,88,888,.............$
cbse
class11
ch9
bookproblem
exercise9-3
sec-b
medium
q18
math
sequences-and-series
asked
Feb 27, 2014
by
rvidyagovindarajan_1
1
answer
If the $4^{th},10^{th}\:\;and\:\:16^{th}$ terms of a G.P. are $x,y\:\;and\:\:z$ respectively. Prove that $x,y,z$ are in G.P.
cbse
class11
ch9
bookproblem
exercise9-3
medium
sec-b
q17
math
sequences-and-series
asked
Feb 27, 2014
by
rvidyagovindarajan_1
1
answer
Find the G.P. the sum of whose first two terms is $-4$ and the $5^{th}$ term is $4$ times the $3^{rd}$ term.
cbse
class11
ch9
bookproblem
exercise9-3
sec-b
easy
q16
math
sequences-and-series
asked
Feb 27, 2014
by
rvidyagovindarajan_1
1
answer
Given a G.P. with $a=729$ and $7^{th}$ term is $64$. Find $S_7.$
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q15
math
sequences-and-series
asked
Feb 27, 2014
by
rvidyagovindarajan_1
1
answer
The sum of first three terms of a G.P. is $16$ and the sum of next three terms is $128$. Find the $1^{st}$ term, common ratio and the sum of $n$ terms of the G.P.
cbse
class11
ch9
bookproblem
exercise9-3
sec-b
medium
q14
math
sequences-and-series
asked
Feb 26, 2014
by
rvidyagovindarajan_1
1
answer
How many terms of the G.P. $3,3^2,3^3.......$ are needed to give the sum $120$?
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q13
math
sequences-and-series
asked
Feb 26, 2014
by
rvidyagovindarajan_1
1
answer
The sum of first $3$ terms of a G.P is $\large\frac{39}{10}$ and their product is $1$. Find the common ratio and the terms of the G.P.
cbse
class11
ch9
bookproblem
exercise9-3
sec-b
medium
q12
math
sequences-and-series
asked
Feb 26, 2014
by
rvidyagovindarajan_1
1
answer
Evaluate $\sum\limits_{k=1}^{11} (2+3^k)$
cbse
class11
ch9
bookproblem
exercise9-3
sec-b
easy
q11
math
sequences-and-series
asked
Feb 26, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $n$ terms of the G,P, $x^2,x^4,x^6...........$ in terms of $x$
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q10
math
sequences-and-series
asked
Feb 26, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum up to $n$ terms of the G.P. $1,-a,a^2,-a^3.........$
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q9
math
sequences-and-series
asked
Feb 26, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum upto $n$ terms of the G.P. $\sqrt 7,\sqrt {21},3\sqrt 7,.......$
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q8
math
sequences-and-series
asked
Feb 26, 2014
by
rvidyagovindarajan_1
1
answer
Find the sum of $20$ terms of the G.P., $0.15,0.015,0.0015................$
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q7
math
sequences-and-series
asked
Feb 25, 2014
by
rvidyagovindarajan_1
1
answer
For what value of $x$ the numbers $-\large\frac{2}{7},$$x,-\large\frac{7}{2}$ are in G.P.?
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q6
math
sequences-and-series
asked
Feb 25, 2014
by
rvidyagovindarajan_1
1
answer
Which term of the sequence $\large\frac{1}{3},\frac{1}{9},\frac{1}{27}.......$ is $\large\frac{1}{19683}$?
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q5-c
math
sequences-and-series
asked
Feb 25, 2014
by
rvidyagovindarajan_1
1
answer
Which term of the sequence $\sqrt 3,3,3\sqrt 3.......$ is $729?$
cbse
class11
ch9
bookproblem
exercise9-3
easy
sec-a
q5-b
math
sequences-and-series
asked
Feb 25, 2014
by
rvidyagovindarajan_1
1
answer
Which term of the sequence $2,2\sqrt 2,4,.......\:\:is\:\:128?$
cbse
class11
ch9
bookproblem
exercise9-1
easy
sec-a
q5-a
math
sequences-and-series
asked
Feb 25, 2014
by
rvidyagovindarajan_1
1
answer
The $4^{th}$ term of a G.P. is square of its second term, and the $1^{st}$ term is $-3$. Find its $7^{th}$ term.
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q4
math
sequences-and-series
asked
Feb 25, 2014
by
rvidyagovindarajan_1
1
answer
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