info@clay6.com
+91-9566306857
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
If three numbers are in GP, then their logarithms will be in
$(a)\;AP\qquad(b)\;GP\qquad(c)\;HP\qquad(d)\;None\;of\;the\;above$
jeemain
math
class11
ch9
sequences-and-series
easy
relationship-between-ap-and-gm
q87
Share
asked
Jan 17, 2014
by
yamini.v
retagged
Aug 31, 2014
by
sharmaaparna1
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
1 Answer
Answer : (a) AP
Explanation : a,b,c are in GP $\frac{b}{a}=\frac{c}{b}$
$b^2=ac$
logarithm on both sides
$log\;(b^2)=\;log(ac)$
$2\;log\;b=log\;a+log\;c=log\;b+log\;b$
$log\;b-log\;a=log\;c-log\;b$
Therefore , $log\;a,log\;b,log\;c\;are\;in\;AP.$
answered
Jan 17, 2014
by
yamini.v
Please
log in
or
register
to add a comment.
Related questions
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
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
$p, q, r$ are three unequal numbers in AP. If $q-p$, $r-q$ and $p$ are in GP, the $p\;:\;q\;:\;r$ equals
jeemain
math
class11
ch9
sequences-and-series
medium
relationship-between-ap-and-gm
q138
asked
Jan 21, 2014
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
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
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 $(m+n)^{th}$, $(n+1)^{th}$, $(r+1)^{th}$ 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
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
...