Sequences and Series
If for an A,P., S8=16 and S16=8, find the first negative term.
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If a,b,c are three distinct positive real numbers in G.P., then prove that c2+2ab>3ac
If a1,a2,....an are positive real numbers whose product is a fixed number c, then the minimum value of a1+a2+....+an−1+2an is
If a,b,c are sides of the △ABC such that (1+ab−c)a⋅(1+bc−a)b⋅(1+ca−b)c≥1, then triangle △ABC must be
Let an= product of the first n natural numbers. Then for all n ϵ N
What is the geometric mean of 6 and 24 ?
Sum of two numbers is 6 times their geometric mean, show that numbers are in the ratio (3+22 ):(3−22 ).
The geometric mean if the series 1,2,4,.....2n is
Find GM between 4 and 36.