Find the common difference of an A.P. wh...

Find the common difference of an A.P. whose first term is 5 and the sum of its first four terms is half the sum of the next four terms.

Text Solution

AI Generated Solution

Topper's Solved these Questions

STATISTICS
RD SHARMA ENGLISH|Exercise All Questions|250 Videos
TRIANGLES
RD SHARMA ENGLISH|Exercise All Questions|366 Videos

Similar Questions

Explore conceptually related problems

Find the common difference of the A.P whose first term is 12 and fifth term is 0.

Find the sum of first 20 terms of an A.P. whose first term is 3 and the last term is 57.

In an A.P. the first term is 2 and the sum of the first five terms is one fourth of the next five terms. Show that 20th term is -112.

In an A.P., the first term is 2 and the sum of the first five terms is one-fourth of the next five terms. Show that 20th term is 112 .

Find the sum of first 25 terms of an A.P. whose nth term is 1- 4n

Find the mean of first n terms of an A.P. whose first term is a and common difference is d.

If 12th term of an A.P. is -13 and the sum of the first four terms is 24, what is the sum of first 10 terms ?

Write the common difference of an A.P. the sum of whose first \ \ n terms is P/2n^2+Q n

The first term of an A.P. is a and the sum of first p terms is zero, show that the sum of its next q terms is (-a(p+q)q)/(p-1)dot

RD SHARMA ENGLISH-SURFACE AREAS AND VOLUMES-All Questions

All kings, queens are aces are removed from a pack of 52 cards. The ...
Text Solution
|
If the points A(x , y),B(3,6)a n dC(-3,4) are collinear, show that x-3...
Text Solution
|
Find the common difference of an A.P. whose first term is 5 and the su...
Text Solution
|
In a flight of 2800km, an aircraft was slowed down due to bad weather....
Text Solution
|
A conical vessel of radius 6cm and height 8cm is completely filled wit...
Text Solution
|
An agriculture field is in the form of a rectangle of length 20m width...
Text Solution
|
Solid cylinder of brass 8m high and 4m diameter is melted and recast ...
Text Solution
|
A solid iron rectangular block of dimensions 4.4m, 2.6m and 1m is cast...
Text Solution
|
A led pencil consists of a cylindner of wood with a solid cylinder of ...
Text Solution
|
Find the maximum volume of a cone that can be carved out of a solid ...
Text Solution
|
Water is flowing at the rate of 3km/hr through a circular pipe of 20cm...
Text Solution
|
Water flows at the rate of 10 meter per minute through a cylindrical ...
Text Solution
|
21 glass spheres, each of radius 2cm are packed in a cuboidal box of ...
Text Solution
|
The slant height of a frustum of a cone is 4 cm and the perimeters ...
Text Solution
|
Prove that the length of the tangents drawn from an external point to ...
Text Solution
|
A well of inner diameter 14 m is dug 12 m deep. The earth taken out of...
Text Solution
|
If the n^(t h) term of an A.P., is (2n+1), then the sum of its first...
Text Solution
|
A tangent PQ at a point P of a circle of radius 5 cm meets a line thr...
Text Solution
|
From a point on the ground, the angles of elevation of the bottom an...
Text Solution
|
The roots of the quadratic equation 2x^2-x-6=0 (a)-2,3/2 (b) 2,-3...
Text Solution
|