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Recent questions tagged exercise9-3
Questions
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
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
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
The $5^{th},8^{th}\:and\:11^{th}$ terms of a $G.P.$ are $p,q\:and\:s$ respectively. Show that $q^2=ps$
cbse
class11
ch9
bookproblem
exercise9-3
easy
sec-a
q3
math
sequences-and-series
asked
Feb 25, 2014
by
rvidyagovindarajan_1
1
answer
Find the $12^{th}$ term of the $G.P.$ whose $8^{th}$ term is $192$ and common ratio=$2$
cbse
class11
ch9
bookproblem
exercise9-3
sec-a
easy
q2
math
sequences-and-series
asked
Feb 25, 2014
by
rvidyagovindarajan_1
1
answer
Find the $20^{th}$ term of the $G.P.\:\:\large\frac{5}{2},\frac{5}{4},\frac{5}{8},..........$
cbse
class11
ch9
bookproblem
exercise9-3
easy
sec-a
q1
math
sequences-and-series
asked
Feb 25, 2014
by
rvidyagovindarajan_1
1
answer
Use the truth table to establish which of the following statements are tautologies and which are contradictions.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p167
q1
q1-5
modelpaper
jun-2008
asked
Sep 13, 2013
by
sreemathi.v
1
answer
Use the truth table to establish which of the following statements are tautologies and which are contradictions.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p167
q1
q1-4
asked
Sep 13, 2013
by
sreemathi.v
1
answer
Use the truth table to establish which of the following statements are tautologies and which are contradictions.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p167
q1
q1-3
modelpaper
oct-2009
asked
Sep 13, 2013
by
sreemathi.v
1
answer
Use the truth table to establish which of the following statements are tautologies and which are contradictions.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p167
q1
q1-2
asked
Sep 13, 2013
by
sreemathi.v
1
answer
Show that $(p \wedge q)\rightarrow (p \vee q)$ is a tautology.
bookproblem
ch9
sec1
exercise9-3
p168
q7
tnstate
class12
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Show that $p \rightarrow q$ and $q \rightarrow p$ are not equivalent.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p168
q6
modelpaper
mar-2009
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Show that $\sim(p\wedge q) \equiv (\sim p)\vee (\sim q)$
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p168
q5
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Show that p ↔ q ≡ ((∼ p) ∨ q) ∧ ((∼ q) ∨ p)
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p168
q4
modelpaper
mar-2007
jun-2007
oct-2008
mar-2010
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Show that p ↔ q ≡ (p → q) ∧ (q → p)
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p168
q3
modelpaper
oct-2006
jun-2009
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Show that p → q ≡ (∼ p) ∨ q
tnstate
class12
bookproblem
ch9
sec2
exercise9-3
p168
q2
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Use the truth table to establish which of the following statements are tautologies and which are contradictions.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p167
q1
q1-1
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
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