Sequences and Series
Find the nth term if sum of first n terms of an AP is (3x2+n)
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If a,b,c are different positive real numbers such that b+c−a,c+a−b and a+b−c are positive, then (b+c−a)(c+a−b)(a+b−c)−abc is
Assertion :For n∈N, (n!)3 <nn(2n+1)2n Reason :n>6,(3n)n<n!(2n)n
Find GM between 4 and 36.
Let x1+y1+z1=1 for x > 0, y > 0, z > 0 .Which of the following sets could be the possible values of (x - 1)(y - 1)(z - 1)?
After inserting n A.M.'s between 2 and 38, the sum of the resulting progressions is 200. The value of n is?
The minimum value of the sum of real numbers a−5, a−4,3a−3,1, a8 and a10 with a>0 is
Maximum value of ∏(1+ab−c)a is λ where a,b,c are integral sides of a triangle, λ+2 is/are divisible by