The sum of three numbers in G.P. is 56. ...

The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from these numbers in that order, we obtain an arithmetic progression. Find the numbers.

Text Solution

Verified by Experts

The correct Answer is:

`8, 16, 32`

Topper's Solved these Questions

SEQUENCE AND SERIES
KUMAR PRAKASHAN|Exercise Textbook based MCQs|32 Videos
SEQUENCE AND SERIES
KUMAR PRAKASHAN|Exercise Textbook based MCQs (Latest Exam MCQs)|3 Videos
SEQUENCE AND SERIES
KUMAR PRAKASHAN|Exercise Exercise: 9.5|6 Videos
RELATIONS AND FUNCTIONS
KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Question of Module)|16 Videos
SETS
KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|28 Videos

Similar Questions

Explore conceptually related problems

If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.

The sum of three number are in H.P. is 37 and the sum of their reciprocals is 1/4 . Find the number

A two digit number such tha the product of the digits is 20. If 9 is subtracted from the number, the digits interchange their places. Find the number.

Find a three digit number whose consecutive digits form a G.P. if we subtract 792 from this number, we get a number consisting of the same digits written in the reverse order. Now, it we increase the second digit of the required number by 2, then the resulting digits will form an A.P.

The sum of three numbrs is 6. If we multiply third number by 3 and add second number to itm we get 11 . By adding first and thrid numbers, we get double of the second number. Represent it algebraically and find the number using matrix method

Three numbers in AP have the sum 18 and the sum of their squares is 180. Three those numbers in the increasing order.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by the elimination method: The sum of the digits of a two digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number.

The digits of a positive integer, having three digit number are in A.P. and their sum is 15. The number obitained by reversing the digits is 594 less than the original number. Find the number.

A two digit number is four times the sum and three times the product of its digits. Find the number.

KUMAR PRAKASHAN-SEQUENCE AND SERIES-Miscellaneous Exercise

The sum of some terms of G.P. is 315 whose first term and the common r...
Text Solution
|
The first term of a G.P. is 1. The sum of the third term and fifth ter...
Text Solution
|
The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from t...
Text Solution
|
A G.P. consists of an even number of terms. If the sum of all the term...
Text Solution
|
The sum of the first four terms of an A.P. is 56. The sum of the last ...
Text Solution
|
If (a+bx)/(a-bx)=(b-cx)/(b-cx)=(c+dx)/(c-dx)( x ne 0) then show that ...
Text Solution
|
Let S be the sum, P the product and R the sum of reciprocals of n term...
Text Solution
|
The p^(th), q^(th) and r^(th) terms of an A.P. are a, b, c, respectiv...
Text Solution
|
If a(1/b+1/c),b(1/c+1/a),c(1/a+1/b) are in A.P., prove that a,b,c are...
Text Solution
|
If a, b, c, d are in G.P, prove that (a^n + b^n), (b^n + c^n), (c^n +...
Text Solution
|
If a and b are the roots of x^2 – 3x + p = 0 and c, d are roots of x^...
Text Solution
|
The ratio of the A.M. and G.M. of two positive numbers a and b, is m :...
Text Solution
|
If a, b, c are in A.P., b, c, d are in G.P. and 1/c,1/d,1/e are in A.P...
Text Solution
|
Find the sum of the following series up to n terms: (i) 5+55+555+......
Text Solution
|
Find the sum of the following series up to n terms: (i) 5+55+555+......
Text Solution
|
Find the 20^(th) term of the series 2 xx 4 + 4 xx 6 + 6 xx 8 + ... + ...
Text Solution
|
Find the sum of the first n terms of the series: 3+ 7 +13 +21 +31 +......
Text Solution
|
If S1, S2, S3 are the sum of first n natural numbers, their squares a...
Text Solution
|
Find the sum of the following series up to n terms: 1^3/1+(1^3+2^3)/...
Text Solution
|
Show that, (1 xx 2^(2) + 2 xx 3^(2) + ….+ n xx (n+1)^(2))/(1^(2) xx 2 ...
Text Solution
|