Mathematics questions
18011 published questions with worked solutions.
- If there be n quantities in G.P. whose common ratio is r and S_m denotes the sum of the first m terms, then the sum of their...
- If (1-p) (1+2x+4x^2+8x^3+16x^4+32x^5 )=1-p^6, p 1 then a value of p/x is
- If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 terms is
- For what value of b, will the roots of the equation x=b, -1 b 1 when arranged in ascending order of their magnitudes, form an...
- Sum of infinite number of terms of a G.P. is 20 and sum of their squares is 100. The common ratio of the G.P. is
- In a H.P. p^ th term is q and q^ th term is p. Then, (pq)^ th term is
- In a G.P. with alternatively positive and negative terms, any term is the A.M. of the next two terms. Then, the common ratio of...
- The n^ th term of the sequence 4,14,30,52,80,114, is
- If a+b 1-ab ,b, b+c 1-bc are in A.P., then a, 1b,c are in
- If |a|<1 and |b|<1, then the sum of the series a(a+b)+a^2 (a^2+b^2 )+a^3 (a^3+b^3 )+ upto , is
- If a,b,c are in H.P., then
- If S_1,S_2,S_3 be the sum of n, 2n, 3n terms respectively of an A.P., then
- The value of 0.2^ _ 5 ( 14+ 18+ 1 16 + ) , is
- The value of _ r=1 ^n ( a^r b^ r-1 ) is
- If x,y,z are in G.P. and x+3,y+3,z+3 are in H.P., then
- If x+y 1-xy ,y, y+z 1-yz be in A.P., then x, 1y,z will be in
- If (m+1)^ th , (n+1)^ th and (r+1)^ th terms of an AP are in G.P. and m,n,r are in H.P., then the ratio of the first term and...
- If a,b,c be respectively the p^ th , q^ th and r^ th terms of a HP., then = vmatrix bc&ca&ab &q&r 1&1&1 vmatrix equals
- If a,b,c are three unequal positive quantities in H.P., then
- Given two numbers a and b. Let A denote the single A.M. and S denote the sum of n A.M.'s between a and b, then S/A depends on