The product of three consecutive terms o...

The product of three consecutive terms of a G.P. is 512. If 4 is added to each of the first and the secon of these terms, the three terms now form an A.P. . Then the sum of the original three terms of the given G.P. is

Topper's Solved these Questions

JEE MAIN
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
LIMITS AND DERIVATIVES
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

The product of three consecutive terms of a GP is 512. If 4 is added to each of the first and the second of these terms, the three terms now form an AP. Then the sum of the original three terms of the given GP is: (a) 36 (b) 32 (c) 24 (d) 28

The product of first three terms of a G.P. is 1000 . If we add 6 to its second term and 7 to its third term, the resulting three terms form an A.P. Find the terms of the G.P.

The product of three consecutive terms of a GP Is -64 and the first term is four times the third. Find the terms.

The sum of three consecutive terms of an A.P. is 21 and the sum of their squares is 165. Find these terms.

The sum of three terms of an A.P. is 21 and the product of the first and the third terms exceeds the second term by 6, find three terms.

The product of three consecutive terms of a G.P. is 64. The sum of product of numbers taken in pair is 56. Find the numbers.

The product of first three terms of a G.P. is 1000. If 6 added to its second term and 7 added to its third term, the terms become in A.P. Find the G.P.

The sum of the first three terms of G.P. is 7 and the sum of their squares is 21. Determine the first five terms of the G:P.

The sum of three consecutive terms of an AP is 15 and their product is 105, find numbers.

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions

Let S={1,2,...,20}. A subset B of S is said to be ''nice'', if the sum...
Text Solution
|
An ordered pair (alpha, beta) for which the system of linear equations...
Text Solution
|
The product of three consecutive terms of a G.P. is 512. If 4 is added...
Text Solution
|
Let y(x) is the solution of differential equation x(dy)/(dx)+y=x logex...
Text Solution
|
The perpendicular distance from the origin to the plane containing the...
Text Solution
|
If the vertices of a hyperbola be at (-2, 0) and (2, 0) and one of its...
Text Solution
|
The set of all values of lambda for which the system of linear equatio...
Text Solution
|
Let A=[(1, sintheta, 1),(-sintheta, 1, sintheta),(-1, -sintheta, 1)], ...
Text Solution
|
The value of int1^e((x/e)^(2x)+(e/x)^x)logex dx is equal to (...
Text Solution
|
In a game, a man wins Rs 100 if he gets 5 or 6 on a throw of a fair di...
Text Solution
|
if an angle between the line,and the plane,(x-1)/2=(y-2)/1=(z-3)/-2 an...
Text Solution
|
Find the equation of line through (-4, 1,3) & parallel to the plane x+...
Text Solution
|
From a well shuffled deck of cards, 2 cards are drawn with replacement...
Text Solution
|
If y(x) is solution of x(dy)/(dx)+2y=x^(2), y(1)=1 then value of y(1/2...
Text Solution
|
There si a parabola having axis as x-axis, vertex is at a distance of ...
Text Solution
|
Find common tangent of the two curve y^(2)=4x and x^(2)+y^(2)-6x=0 ...
Text Solution
|
Consider the curves y=x^(2)+2 and y=10-x^(2) . Let theta be the angle ...
Text Solution
|
If eccentricity of the hyperbola (x^(2))/(cos^(2) theta)-(y^(2))/(sin^...
Text Solution
|
If f1(x)=(1)/(x), f(2) (x)=1-x, f(3) (x)=1/(1-x) then find J(x) such t...
Text Solution
|
if cos^(-1)((2)/(3x))+cos^(-1)((3)/(4x))=(pi)/2, x>3/4 then x= (a...
Text Solution
|