Sequence and Series questions
1035 published questions with worked solutions.
- If the sum of n terms of a AP is nA+n^2B, where A and B are constants, then its common difference will be
- If the ratio of AM between two positive real numbers a and b to their HM is m:n, then a:b is equal to
- Let a_1,a_2, ,a_ 10 be in AP and h_1,h_2, ,h_ 10 be in HP. If a_1=h_1=2 and a_ 10 =h_ 10 =3 then a_4h_7 is
- 1+ 32+ 5 2^2 + 7 2^3 + is equal to
- Consider the following statements: 1. If m^ th term of HP is n and the n^ th term is m, then the (mn)^ th term is 1. 2. If a,b,c...
- The solution of the equation (x+1)+(x+4)+(x+7)+ +(x+28)=155 is
- The sum of n terms of three AP's whose first term is 1 and common differences are 1,2,3 respectively are S_1,S_2,S_3...
- If the angles of a quadrilateral are in AP, whose common difference is 10^ , then the angles of the quadrilateral are
- For any odd integer n 1, n^3-(n-1)^3+ +(-1)^ n-1 1^3 is equal to
- Let S= 85+ 16 15 + + 128 2^ 18 +1 , then
- If n geometric means be inserted between a and b, then the n^ th geometric mean will be
- If the p^ th term of an AP be q and q^ th term be p, then its r^ th term will be
- Let the positive numbers a,b,c,d be in AP, then abc,abd,acd,bcd are
- _ n=1 ^ 10 _ i=1 ^ n-1 1 is equal to
- Statement 1: 3,6,12 are in GP, then 9,12,18 are in HP. Statement 2: If middle term is added in three consecutive terms of a GP,...
- If three unequal numbers p,q,r are in HP and their squares are in AP, then the ratio p:q:r is
- The sum of the series 1 1+1^2+1^4 + 2 1+2^2+2^4 + 3 1+3^2+3^4 + to n terms is
- Statement 1: If |x-1|,|x-3| are first three terms of an AP, then its sixth term is 7< third terms. Statement 2: a,a+d,a+2d, are...
- If the number of terms in an AP is 2n+1, then the ratio of the sum of the odd terms to the sum of even terms is
- a_n and b_n be two sequences given by a_n=(x)^ 1 2^n +(y)^ 1 2^n and b_n=(x)^ 1 2^n -(y)^ 1 2^n for all n N, then a_1a_2a_3 a_n...
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