If the sum of the first 2n terms of the ...

If the sum of the first 2n terms of the `A.P.2,5,8,…,` is equal to the sum of the first n terms of the `A.P.57,59,61,…,` then n equals

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

NTA JEE MOCK TEST 96
NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
NTA JEE MOCK TEST 98
NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If the sum of the first 2n terms of the A.P.2,5,8,..., is equal to the sum of the first n terms of A.P.57,59,61,..., then n equals 10 b.12 c.11 d.13

If the sum of the first 2n terms of the AP 2, 5, 8 ....is equal to the sum of first n terms of the AP 57, 59, 61, ..., then what is the value of n?

If the sum to 2n terms of an Ap 2,5,8,11 , …. is equal to the sum to n terms of an AP 57,59,61,63, …. , then n is equal to

Let S_(1) be the sum of the first n terms of the A.P 8,12,16,... and let S_(2) be the sum of the first n terms of the A.P 17,19,21,... assume n!=0 then S_(1)=S_(2) for

If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p+q) terms.

The sum oif the first ten terms of an A.P. is equal to 155, and the sum of the first two terms of a G.P. is 9. Find these progressionsif the first term of the A.P. equals the common ratio of the G.P. and the 1st term of G.P. equals the common difference of A.P.

If sum of first 20 terms of an A.P. is equal to sum of first 30 terms of the A.P. then sum of the first 50 terms of the A.P. is

If the n^(th) term of an A.P.is (2n+1), find the sum of first n terms of the A.P.

The sum of first 5 terms and first 15 terms of an A.P. are equal. Find the sum of its first 20 terms.

NTA MOCK TESTS-NTA JEE MOCK TEST 97-MATHEMATICS

The number of non negative integral solution of the equation, x+ y+3z ...
Text Solution
|
The least integral value of ' a ' for which the graphs y=2a x+1 and y=...
Text Solution
|
If the sum of the first 2n terms of the A.P.2,5,8,…, is equal to the s...
Text Solution
|
The solution set of x in(-pi,pi) for the inequality sin 2x+1 le cosx+2...
Text Solution
|
The integral I=intsin (2theta)[(1+cos^(2)theta)/(2sin^(2)theta)]d thet...
Text Solution
|
If f(x) satisfies f(x)+f(3-x)=3 AA x in R, then the value of integral ...
Text Solution
|
The area (in sq. units) bounded by y=x|x| and the line y=x is equal to
Text Solution
|
The equation of the curve for which the slope of the tangent at any po...
Text Solution
|
Three boxes are labeled as A, B and C and each box contains 5 balls nu...
Text Solution
|
An line parallel to 6hati-3hatj+2hatk intersects the line (x)/(1)=(y)/...
Text Solution
|
The value of |(cos.(2pi)/(63),cos.(3pi)/(70),cos.(4pi)/(77)),(cos.(pi)...
Text Solution
|
If the system of equation 14x-3y+z=12, x-2y=0 and x+2z=0 has a solutio...
Text Solution
|
A triangle has two of its vertices at (0,1) and (2,2) in the cartesian...
Text Solution
|
If a circle passes through the point (1, 1) and cuts the circle x^(2)+...
Text Solution
|
The length of intercept cut but the line 4x+4sqrt3y-1=0 on the curve y...
Text Solution
|
If the eccentricity of the hyperbola (x^(2))/((1+sin theta)^(2))-(y^(2...
Text Solution
|
At the foot of a mountain the elevation of its summit is 45^@, after a...
Text Solution
|
If the coefficient of x^7 in (ax^2+1/(bx))^11 is equal to the coeffici...
Text Solution
|
The smallest natural value of a for which the function f(x)=2(x+1)-a(2...
Text Solution
|
Let vec r xx veca = vec b xx veca and vecc vecr=0, where veca.vecc ne ...
Text Solution
|