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Recent questions in Sequence and Series
Questions
>>
JEEMAIN and NEET
>>
Mathematics
>>
Class11
>>
Sequence and Series
Find the sum of n terms of the series 2.4+5.7+8.10+------------
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q46
asked
Jan 3, 2014
by
yamini.v
1
answer
If a, b, c, d are in GP, what is the progression of
a
n
+
b
n
,
b
n
+
c
n
,
c
n
+
d
n
.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q45
asked
Jan 3, 2014
by
yamini.v
1
answer
If a, b, c are in GP, find the value of
a
2
b
2
c
2
(
1
a
3
+
1
b
3
+
1
c
3
)
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q44
asked
Jan 3, 2014
by
yamini.v
1
answer
Find 3 Geometric means between
1
3
and 432.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q43
asked
Jan 3, 2014
by
yamini.v
1
answer
Insert two geometric means between 4 and 256 .
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q42
asked
Jan 3, 2014
by
yamini.v
1
answer
If
a
,
b
,
c
----
l
is a GP, find the sum of the series.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q41
asked
Jan 3, 2014
by
yamini.v
1
answer
Find the sum of first 25 terms of the sequence 5,5.5,5.55,5.555-----------
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q40
asked
Jan 2, 2014
by
yamini.v
0
answers
How many terms of the series
6
,
3
,
3
2
------ will make a sum of
765
64
.
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q39
asked
Jan 2, 2014
by
yamini.v
1
answer
How many terms of the series
√
2
, 2,
2
√
2
,------- will make a sum of
62
+
31
√
2
?
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q38
asked
Jan 2, 2014
by
yamini.v
1
answer
If the sum of n terms of the AP 55, 57, 59------ is equal to the sum of first 2n terms of the AP 1, 4, 710--------then n equals
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q37
asked
Jan 2, 2014
by
yamini.v
1
answer
What is the harmonic mean of the two roots of the following equation
(
5
+
√
2
)
x
2
−
(
4
+
√
5
)
x
+
8
+
2
√
5
=
0
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q36
asked
Jan 2, 2014
by
yamini.v
1
answer
In an AP of 10 numbers and a HP of 10 numbers, the first term and last term are the same and equal to 2 and 3. Find the value of product of fourth term of the AP and the seventh term of the HP.
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q35
asked
Jan 2, 2014
by
yamini.v
1
answer
The third term of a GP is 2. Calculate the product of the first 5 terms.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q34
asked
Jan 2, 2014
by
yamini.v
1
answer
If the p and q are roots of the equation
x
2
−
7
x
+
A
=
0
ξ
r
ξ
s
are roots of equation
x
2
−
19
x
+
B
=
0
,
find the values of
A
ξ
B
if p,q,r,s are in AP.
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q33
asked
Jan 2, 2014
by
yamini.v
1
answer
The sum of integers from 1 to 200 that are divisible by 2 or 5 is
jeemain
math
class11
ch9
sequences-and-series
easy
q32
asked
Jan 2, 2014
by
yamini.v
1
answer
If
a
,
b
,
c
are in
A
P
and
a
2
,
b
2
,
c
2
are in
H
P
, how are
a
,
b
and
−
c
2
related?
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q31
asked
Jan 2, 2014
by
yamini.v
1
answer
If the
i
t
h
,
j
t
h
a
n
d
k
t
h
term of an AP and a GP are equal and are
x
,
y
,
z
find the value of
x
(
y
−
z
)
.
y
(
z
−
x
)
.
z
(
x
−
y
)
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q30
asked
Jan 2, 2014
by
yamini.v
1
answer
If a
ξ
b
are two positive integers,x is their AM and
y
ξ
z
are two GMs then calculate the value of
y
3
+
z
3
x
y
z
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q29
asked
Jan 2, 2014
by
yamini.v
1
answer
If the harmonic mean H and geometric mean G of two positive numbers a and b are in ratio 3:5, then a and b are in the ratio
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q28
asked
Jan 2, 2014
by
yamini.v
1
answer
In a triangle
△
A
B
C
,a,b,c are its sides ,A,B
ξ
C are its angles, if
cot
A
,
cot
B
ξ
cot
C
are in AP , the a,b, and c are in which progression?
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q27
asked
Jan 2, 2014
by
yamini.v
1
answer
An infinite GP has its first term as x and sum is 6 , then which of the following is true?
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q26
asked
Jan 2, 2014
by
yamini.v
1
answer
If 5, x, y, z, 1280 are in GP, what are the values of x, y, z.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q25
asked
Jan 2, 2014
by
yamini.v
1
answer
If the
4
t
h
term of a GP is the square of its second term and the first term is -2. Find the
7
t
h
term of the GP.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q24
asked
Jan 2, 2014
by
yamini.v
1
answer
Given that a,b
ξ
c are in AP,which of the following is true?
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q23
asked
Jan 2, 2014
by
yamini.v
1
answer
Find 3 numbers in AP whose sum is 18 and the sum of its cube is 972.
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q22
asked
Jan 1, 2014
by
yamini.v
1
answer
Find n such that is
512
729
is the nth term of the GP 18,-12,8,-----------------
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q21
asked
Jan 1, 2014
by
yamini.v
1
answer
Find n where 1536 is the nth term of the series 3,6,12---------------
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q20
asked
Jan 1, 2014
by
yamini.v
1
answer
What are next two terms of the GP
√
2
,
1
/
√
2
,
1
/
2
√
2
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q19
asked
Jan 1, 2014
by
yamini.v
1
answer
If both the roots of the quadratic equation
(
b
−
c
)
x
2
+
(
c
−
a
)
x
+
(
a
−
b
)
=
0
are equal. Then
a
,
b
,
c
are in
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q18
asked
Dec 31, 2013
by
yamini.v
1
answer
If both the roots of the quadratic equation
(
b
−
c
)
x
2
+
(
c
−
a
)
x
+
(
a
−
b
)
=
0
are equal.Then a,b,c are in
jeemain
math
class11
unit7
sequences-and-series
easy
q18
asked
Dec 31, 2013
by
yamini.v
0
answers
If
a
2
,
b
2
,
c
2
are in AP ,
1
b
+
c
,
1
a
+
c
,
1
b
+
a
are in
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q17
asked
Dec 31, 2013
by
yamini.v
1
answer
The sum of terms of a series is
2
n
−
1
3
.What is the type of series AP or GP. What is the value of d or r (common difference of AP or common ratio of GP)
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q16
asked
Dec 31, 2013
by
yamini.v
1
answer
Find the sum of series 4 + 44 + 444 + 4444 +------upto n terms.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q15
asked
Dec 31, 2013
by
yamini.v
1
answer
In a GP, the ratio of the sum of first 3 terms to the sum of first 6 terms is 125/152. Find the common of the GP.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q14
asked
Dec 31, 2013
by
yamini.v
1
answer
The product of 3 numbers in a GP is 64 and the sum of product of numbers taken in pairs is 56. Find the three numbers in GP.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q13
asked
Dec 31, 2013
by
yamini.v
1
answer
If 4 positive numbers a, b, c and d are in HP, which of the following is true.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q12
asked
Dec 31, 2013
by
yamini.v
1
answer
Given that
S
1
S
2
=
3
n
+
8
7
n
+
5
,
S
1
S
2
is the ratio of sum of two APs to n terms, find the ratio of the 11<sup>th</sup> terms of the two APs.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q11
asked
Dec 31, 2013
by
yamini.v
1
answer
Find the sum of the series -1 + 4 - 9 + 16 - 25 +-----+ 4008004.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q10
asked
Dec 31, 2013
by
yamini.v
1
answer
Find the sum of the series
1
2
-
2
2
+
3
2
-
4
2
+
5
2
-
6
2
.....
1000
2
.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q9
asked
Dec 31, 2013
by
yamini.v
1
answer
In an AP, the sum of n terms is
n
2
+
1
. Find the 16th term.
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q8
asked
Dec 30, 2013
by
yamini.v
1
answer
In an AP, the sum of n terms is a function of n,
S
n
=
3
n
2
+
2
n
.
Find the rth term.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q7
asked
Dec 30, 2013
by
yamini.v
1
answer
In a series -9,-6,-3,----, find the number of terms n to get a sum
S
n
= 66.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q6
asked
Dec 30, 2013
by
yamini.v
1
answer
If the 7th term of an AP is 23 and the 12th term is 38, find the first term 'a' and common difference 'd'.
jeemain
math
class11
ch9
sequences-and-series
easy
arithmetic-progression
q5
asked
Dec 30, 2013
by
yamini.v
1
answer
Find the sum of the series 1,
7
5
,
13
25
,
19
25
,----,
∞
.
jeemain
math
class11
ch9
sequences-and-series
easy
sum-of-n-terms-of-special-series
q4
asked
Dec 30, 2013
by
yamini.v
1
answer
Given that four positive numbers are in HP, which of the following is true.
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q3
asked
Dec 30, 2013
by
yamini.v
1
answer
Among 5 numbers a, b, c, d and e the relationships are: a, b, c are in AP and b, c, d are in GP and c, d, e are in HP. Find b, c, d if a = 2 and e = 18.
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q2
asked
Dec 30, 2013
by
yamini.v
2
answers
In a GP, the first term is
312
1
2
, the common ratio is
1
2
. Find the sum of the series to
∞
terms.
jeemain
math
class11
ch9
sequences-and-series
easy
geometric-progression
q1
asked
Dec 30, 2013
by
yamini.v
1
answer
In a GP, given that the first term is
312
½
and the common ratio is
1
/
2
find the sum of the terms of the series to infinity.
jeemain
math
class11
unit7
sequences-and-series
medium
asked
Nov 28, 2013
by
harini.tutor
1
answer
Find the sum of the GP
1
,
2
,
4
,
8
,
16
,
64
.
.
.
.
upto n terms
jeemain
math
class11
ch9
sequences-and-series
geometric-progression
easy
asked
Nov 19, 2013
by
harini.tutor
1
answer
Find the sum of even numbers between 50 and 100
jeemain
math
class11
ch9
sequences-and-series
sum-of-n-terms-of-special-series
medium
asked
Nov 19, 2013
by
harini.tutor
1
answer
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