Sequence and Series questions
1035 published questions with worked solutions.
- An infinite GP has first term x and sum 5, then
- If a_1,a_2, a_ 50 are in GP, then a_1-a_3+a_5- +a_ 49 a_2-a_4+a_6- +a_ 50 is equal to
- If a,b and c are in AP, then 2^ ax+1 ,2^ bx+1 ,2^ cx+1 , x 0 are in
- If S be the sum, P the product and R be the sum of the reciprocals of n terms of a GP, then P^2 is equal to
- If the third term of a GP is P. Then, product of the first 5 terms of the GP is
- The sum to infinity of the progression 9-3+1- 13+ is
- The first two terms of a geometric progression add upto 12. The sum of the third and the fourth terms is 48. If terms of the...
- If the 7^ th term of HP is 1 10 and the 12^ th term is 1 25 , then the 20^ th term is
- If 1 b-a + 1 b-c = 1a+ 1c and b a+c, then a,b,c are in
- If three real numbers a,b,c are in harmonic progression, then which of the following is true?
- If 4a^2+9b^2+16c^2=2(3ab+6bc+4ca), where a,b,c are non-zero numbers, then a,b,c are in
- If x,y,z are in HP, then (x+z)+ (x-2y+z) is equal to
- The 4^ th term of a HP is 35 and 8^ th term is 13, then its 6^ th term is
- If a+b 2,b, b+c 2 are in HP, then a,b,c are in
- If arithmetic mean of two positive numbers is A, their geometric mean is G and harmonic mean is H, then H is equal to
- If a^ 1/x =b^ 1/y =c^ 1/z and a,b,c are in geometrical progression, then x,y,z are in
- If H_1,H_2 are two harmonic means between two positive numbers a and b (a b), A and G are the arithmetic and geometric means...
- If a,b,c are in GP and x,y are arithmetic mean of a,b and b,c respectively, then 1x+ 1y is equal to
- If AM and GM of x and y are in the ratio p:q, then x:y is
- GM and HM of two numbers are 10 and 8 respectively. The numbers are
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