Sequence and Series questions
1035 published questions with worked solutions.
- 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
- 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 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
- The length of a side of a square is "a" metre. A second square is formed by joining the middle points of this square. Then a...
- _32, _62 _ 12 2 are in
- Let the harmonic mean and the geometric mean of two numbers be in the ratio 4:5. The two numbers are in the ratio
- If a_n is an arithmetic sequence, then = vmatrix a_m&a_n&a_p &n&p 1&1&1 vmatrix
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