Sequence and Series questions
1035 published questions with worked solutions.
- The sum of series 1-3+5-7+9-11+ to n terms is
- If S_n= _ r=1 ^na_r= 16n (2n^2+9n+13 ), then _ r=1 ^n a_r equals
- If a,b,c are in A.P.; b,c,d are in G.P. and c,d,e are in H.P., then a,c,e are in
- If a,b,c are in G.P. and _ca, _bc, _ab are in A.P., then the common difference of the A.P. is
- If a ( 1b+ 1c ), b ( 1c+ 1a ), c ( 1a+ 1b ) are in A.P., then
- The sum of n terms of an A.P. is a ,n(n-1). The sum of the squares of these terms is
- The minimum number of terms from the beginning of the series 20+22 23+25 13+ so that the sum may exceed 1568, is
- If a,b,c are in H.P., then the value of b+a b-a + b+c b-c is
- If a,b,c,d are in G.P. and a^x=b^y=c^z=d^u, then x,y,z,u are in
- Three non-zero real numbers form an A.P. and the squares of these numbers taken in the same order form a G.P. Then, the number of...
- If a,b,c be in G.P. and a+x,b+x,c+x in H.P., then the value of x is (a,b,c are distinct numbers)
- The sum of n terms of an A.P. is 3n^2+5. The number of term which equals 159 is
- An A.P., a G.P. and an H.P. have the same first and last terms and the same odd number of terms. The middle terms of the three...
- If p,q,r are in A.P., then p^ th , q^ th and r^ th terms of any G.P. are in
- If a_1,a_2,a_3, ,a_n are in A.P. and a_i>0 for each i=1,2,3, ,n, then _ r=1 ^ n-1 1 a_ r+1 ^ 2/3 +a_ r+1 ^ 1/3 a_r^ 1/3 +a_r^ 2/3...
- If p^ th , q^ th and r^ th terms of a G.P. are x,y,z respectively, then x^ q-r y^ r-p z^ p-q is equal to
- If a,b,c are in A.P., then a+ 1 bc ,b+ 1 ca ,c+ 1 ab are in
- If p,q,r,s N and they are four consecutive terms of an A.P., then p^ th , q^ th , r^ th and s^ th terms of a G.P. are in
- If H_n=1+ 12+ 13+ + 1n, then the value of S_n=1+ 32+ 53+ + 2n-1 n is
- If 2 2^2+3 2^3+4 2^4+ +n 2^n=2^ n+10 , then n=
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