Does there exist a geometric progression...

Does there exist a geometric progression containing 27, 8 and 12 as three of its terms? If it exists, how many such progressions are possible ?

Text Solution

Verified by Experts

The correct Answer is:

Yes, Infinite

Topper's Solved these Questions

MISCELLANEOUS EXAMPLES
CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos
MISCELLANEOUS EXAMPLES
CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (THREE DIMENSIONAL COORDINATE GEOMETRY)|10 Videos
MISCELLANEOUS EXAMPLES
CHHAYA PUBLICATION|Exercise TRIGONOMETRY|148 Videos
METHOD OF SUBSTITUTION
CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos
ORDER AND DEGREE OF DIFFERENTIAL EQUATION
CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Does there exist a GP containing 27,8 and 12 as three of its terms ? If it exists, how many such progressions are possible ?

The first term of an arithmetic progression is 1 and the sum of the first nine terms equal to 369 . The first and the ninth term of a geometric progression coincide with the first and the ninth term of the arithmetic progression. Find the seventh term of the geometric progression.

Find the geometric progression whose 4th term is 54 and the 7th term is 1458.

How many acyclic isomers of C_5H_(12) are possible ?

In a geometric progression consisting of positive terms, each term equals the sum of the next terms. Then find the common ratio.

If the fourth term of a series in geometric progression is 24 and the seventh term is 192, find the sum of its first ten terms.

If the pth term of an arithmetic progression is q and the qth term is p, show that its (p+q)th term is 0.

Find x so that x, x+2,x+6 are consecutive terms of a geometric progression.

Where Pituitary gland exists? How many lobes it has?

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA

Let t(p) be the p th term of an A.P. if its n th tem is zero, show tha...
Text Solution
|
Let a,b,c,d, be four quantities such that a+c=2 b and ab+cd+ad=3bc(b n...
Text Solution
|
Does there exist a geometric progression containing 27, 8 and 12 as th...
Text Solution
|
If a=2 and e=18 , then find three numbers b,c,d betweem a and e such t...
Text Solution
|
Prove that any sequence of numbers a(1),a(2),...a(n) satisfying the co...
Text Solution
|
If (a-bx)/(a+bx)=(b-cx)/(b+cx)=(c-dx)/(c+dx) show that a,b,c , d are i...
Text Solution
|
Prove that 1+(1+x)+(1+x+x^(2))+(1+x+x^(2)+x^(3))+...+ to n terms =(n...
Text Solution
|
Show that in A.P. the sum of two terms equidistant from the begining a...
Text Solution
|
If there be m quantities in a G.P. whose common ratio is r and S(m)den...
Text Solution
|
If a,b,c are in G.P. are log(c) a , log (b) c, log(a) b are in A.P. , ...
Text Solution
|
Find the sum to n terms of the following series. 5+555+55555+...
Text Solution
|
If x in RR, solve the inequation (5x+8)/(4-x) lt2
Text Solution
|
The population of a twon at the beginning of a year is N and the figur...
Text Solution
|
Examine the validity of the following statement: If a and b ar odd i...
Text Solution
|
Show that the total number of permutations of n diferent things not mo...
Text Solution
|
A and B stand in a line with 10 other people. In how many of the perm...
Text Solution
|
Find the number of permutations of the letters x,x,x,y,y,y,z,w taken 5...
Text Solution
|
A bag contains 50 tickets 1,2,3,...50 of which 5 are drawn at random a...
Text Solution
|
In n gt 7 prove that ""^(n-1)C(3)+""^(n-1)C(4) gt ""^(n)C(3)
Text Solution
|
If (""^(n)C(r-1))/(a)=(""^(n)C(r))/(b)=(""^(n)C(r))/(c) prove that n=(...
Text Solution
|