Sequences and Series
If tn=41(n+2)(n+3) for n=1,2,3,..., then t11+t21+t31+...+t20031=
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
Find the arithmetic mean
If 69.5 is the mean of 72,70,x,62,50,71,90,64,58 and 82. Find the value of x.
I: The real number x when added to its inverse gives the minimum positive value of the sum at x = 1
II: If product of the two positive numbers is 400, then the minimum value of their sum is 20
which of the above statements are true