Sequences and Series
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If a,b,c,d,e,f are A.M. ′s between 2 and 12, then find the sum: a+b+c+d+e+f.
A straight line through the vertex P of a triangle PQR intersects the side QR at the point S and the circumcircle of the triangle PQR at the point T. If S is not the centre of the circumcircle, then
If 6 arithmetic means are inserted between 1 and 29, then find the 4th arithmetic mean.
If x2+x21=A and x−x1=B then least value of BA is
What is the geometric mean of 6 and 24 ?
If there are 3A.M′s between 4 and 84, find their sum.
If the distinct points on the curve y=2x4+7x3+3x−5 are collinear, then find the arithmatic mean of x-coordinates of the aforesaid points