Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
mobile
exams
ask
sample papers
tutors
pricing
login
X
ASK
Home
>>
JEEMAIN and NEET
>>
Mathematics
>>
Class11
>>
Sequence and Series
An infinite GP has its first term as x and sum is 6 , then which of the following is true?
$\begin{array}{1 1} x < -12 \\ -12 < x < 0 \\ 0 < x < 12 \\ x > 12 \end{array}$
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q26
Share
asked
Jan 2, 2014
by
yamini.v
edited
Apr 4, 2016
by
meena.p
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1 Answer
Answer : (c) 0 < x < 12
Explanation : $S_{\infty}\;of\;a\;GP$
$S_{\infty}=\frac{a}{1-r}$
$6=\frac{x}{1-r}$
$r=\frac{6-x}{6}$
$Since\;it\;is\;an\;infinite\;series\;with\;S_{\infty}=6,\quad\;|r|<1$
$-1 < r <1$
$-1 < \frac{6-x}{6} <1$
$0 < r <12.$
answered
Jan 2, 2014
by
yamini.v
Please
log in
or
register
to add a comment.
Related questions
If $(m+n)^{th}$, $(n+1)^{th}$, $(r+1)^{th}$ term of an AP are in GP and $m, n, r$ are in HP, then ratio of first term of AP to common difference is
jeemain
math
class11
ch9
sequences-and-series
difficult
relationship-between-ap-and-gm
q193
asked
Jan 24, 2014
by
yamini.v
1
answer
If the $ i^{th},j^{th}\; and\; k^{th} $ 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
The sum of three decreasing numbers in AP is 27. If -1, -1, and 3 are added to them respectively the resulting series is in GP. The numbers are
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q86
asked
Jan 17, 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
If $a, b, c$ are in AP and $a^2$, $b^2$, $c^2$ in GP, and $a+b+c=\frac{3}{2}$, then value of $c$ is
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q99
asked
Jan 20, 2014
by
yamini.v
1
answer
If three numbers are in GP, then their logarithms will be in
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q87
asked
Jan 17, 2014
by
yamini.v
1
answer
If $a , b , c$ are three numbers in GP . and $\;a+x\;,b+x\;,c+x\;$ are in HP then $x$ equals
jeemain
math
class11
ch9
sequences-and-series
medium
relationship-between-ap-and-gm
q160
asked
Jan 22, 2014
by
yamini.v
1
answer
Ask Question
Tag:
Math
Phy
Chem
Bio
Other
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
...
close