Sequences and Series
The geometric mean of 6 and 54 is
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
The geometric mean if the series 1,2,4,.....2n is
Let f(x)=x2+x+x2+xtan2α,αϵ(0,2π). The value of f(x) is always greater than or equal to
Assertion :Statement-1 : The least value of (tanAtan2A+tanA+1) is 3, where A∈(π,23π). and Reason :Statement-2 : A.M.≥G.M. for all positive numbers.
(x−4) is geometric mean of (x−5) and (x−2) find x.
The least value of 6tan2ϕ +54cot2ϕ is (I) 54 when A.M≥G.M is applicable for 6tan2ϕ ,54cot2ϕ ,18(II) 54 when A.M≥G.M is applicable for 6tan2ϕ ,54cot2ϕ ,18 is added further(III) 78 when tan2ϕ =cot2ϕ
x and y are two +ve numbers suchs that xy =1. Then the minimum value of x + y is
If a, b, c are in AP; x is the GM between a and b; y is the GM between b and c; then show that b2 is the AM between x2 and y2.
The least length of the thread required to construct a rectangle of area 256 cm2 is