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

SAMPLE PAPER 2019
X BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise SECTION-C|5 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

X BOARD PREVIOUS YEAR PAPER ENGLISH-X Boards-All Questions

Three consecutive positive integers are such that the sum of the squar...
Text Solution
|
All kings, queens are aces are removed from a pack of 52 cards. The ...
Text Solution
|
Find the common difference of an A.P. whose first term is 5 and the su...
Text Solution
|
Prove that the ratio of the areas of two similar triangles is equal ...
Text Solution
|
Prove that the length of the tangents drawn from an external point to ...
Text Solution
|
A hemispherical tank full of water is emptied by a pipe at the rate...
Text Solution
|
From the top of a 7 m high building, the angle of elevation of the top...
Text Solution
|
A milk container is made of metal sheet in the shape of frustum of ...
Text Solution
|
If both roots of the equation x^2-(m+1)x+(m+4)=0 are negative then m e...
Text Solution
|
If the common difference of an A.P. is 3, then a20 - a15 is
Text Solution
|
In Figure 2, AB and AC are tangents to the circle with centre O such t...
Text Solution
|
The perimeter (in cm) of a square circumscribing a circle of radius a ...
Text Solution
|
The radius (in cm) of the largest right circular cone that can be cut ...
Text Solution
|
A tower stands vertically on the ground. From a point on the ground...
Text Solution
|
If P(a/2, 4) is the mid-point of the line-segment joining the points ...
Text Solution
|
If A and B are the points (- 6, 7) and (-1, -5) respectively, then th...
Text Solution
|
One card is drawn from a well-shuffled deck of 52 cards. Calculate ...
Text Solution
|
Find the value of m so that the quadratic equation mx (x - 7) + 49 = 0...
Text Solution
|
Find how many two-digit numbers are divisible by 6.
Text Solution
|
In Figure 3, a circle touches all the four sides of a quadrilateral AB...
Text Solution
|