Sequences and Series
The sum of first 20 terms of the sequence 0.7, 0.77, 0.777, .. , is
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If sinx+cosx=y+y1,xϵ[0,π] and y>0, then-
The geometric mean between two numbers a and b is
x and y are two +ve numbers suchs that xy =1. Then the minimum value of x + y is
If sinθ is G.M of sinϕ and cosϕ , then prove that cos2θ =2cos2(4π +ϕ )
If A1,A2 be two arithmetic means between 31 and 241, then their value are
If λ,μ be a real numbers such that x3−λx2+μx−6=0 has its roots real and positive then the minimum value of μ is
ABCD is a square of length a,a∈N,a>1. Let L1,L2,L3......, be point on BC such that BL1=L1L2=L2L3=.....=1 and M1,M2,M3......... be points on CD such that CM1=M1M2=...........=1. Then n=1∑a−1(AL22+LnMn2) is equal to
Insert 19 arithmetic means between 41 and −943.