JEE Advanced questions
3844 published questions with worked solutions.
- If the pth, qth and rth terms of an AP are in GP then the common ratio of the GP is
- The number of terms common between the series 1 + 2 + 4 + 8 + to 100 terms and 1 + 4 + 7 + 10 + to 100 terms is
- The 10th common term between the series 3 + 7 + 11 + and 1 + 6 + 11 + is
- Three consecutive terms of a progression are 30, 24, 20. The next term of the progression is
- If three numbers are in GP then the numbers obtained by adding the middle number to each of the three numbers are in
- If a_1, a_2, a_3 are in AP, a_2, a_3, a_4 are in GP and a_3, a_4, a_5 are in HP then a_1, a_3, a_5 are in
- If a, b, c, d are four numbers such that the first three are in AP while the last three are in HP then
- If the first two terms of an HP be 2/5 and 12/23 then the largest positive term of the progression is the
- If x, 2y, 3z are in AP, where the distinct numbers x, y, z are in GP, then the common ratio of the GP is
- If x > 1, y > 1, z > 1 are three numbers in GP then 1 1 + x , 1 1 + y , 1 1 + z are in
- If a, a_1, a_2, a_3, , a_ 2n-1 , b are in AP, a, b_1, b_2, b_3, , b_ 2n-1 , b are in GP and a, c_1, c_2, c_3, , c_ 2n-1 , b are...
- If a, x, b are in AP, a, y, b are in GP and a, z, b are in HP such that x = 9z and a > 0, b > 0 then
- If three numbers are in HP then the numbers obtained by subtracting half of the middle number from each of them are in
- a, b, c, d, e are five numbers in which the first three are in AP and the last three are in HP. If the three numbers in the...
- If S_r denotes the sum of the first r terms of an AP then S_ 3r -S_ r-1 S_ 2r -S_ 2r-1 is equal to
- S_r denotes the sum of the first r terms of a GP. Then S_n, S_ 2n -S_n, S_ 3n -S_ 2n are in
- If the sum of the series 1+ 2x+ 4 x^2 + 8 x^3 + to is a finite number then
- Let S_n denote the sum of the first n terms of an AP. If S_ 2n =3S_n then S_ 3n :S_n is equal to
- In a GP of even number of terms, the sum of all terms is 5 times the sum of the odd terms. The common ratio of the GP is
- In an AP, S_p=q, S_q=p and S_r denotes the sum of the first r terms. Then S_ p+q is equal to