Let `a_1 = 0 and a_1, a_2,a_3,...,a_n` be real numbers such that `|a_i| = |a_(i-1) + 1|` for all i then the A.M. of the numbers `a_1,a_2,a_3, .... , a_n` has the value A where

Let a_1=0 and a_1,a_2,a_3 …. , a_n be real numbers such that |a_i|=|a_(i-1) + 1| for all I then the A.M. Of the number a_1,a_2 ,a_3 …., a_n has the value A where : (a) A lt -1/2 (b) A lt -1 (c) A ge -1/2 (d) A=-2

If a_1,a_2,a_3,....a_n are positive real numbers whose product is a fixed number c, then the minimum value of a_1+a_2+....+a_(n-1)+3a_n is

If a_1,a_2,a_3,....a_n are positive real numbers whose product is a fixed number c, then the minimum value of a_1+a_2+....+a_(n-1)+3a_n is

If a_1,a_2,a_3,....a_n are positive real numbers whose product is a fixed number c, then the minimum value of a_1+a_2+....+a_(n-1)+3a_n is

If a_1,a_2,a_3,....a_n are positive real numbers whose product is a fixed number c, then the minimum value of a_1+a_2+.......a_(n-1)+2a_n is

If a_n>1 for all n in N then log_(a_2) a_1+log_(a_3) a_2+.....log_(a_1)a_n has the minimum value of

A sequence a_1,a_2,a_3,.a_n of real numbers is such that a_1=0, |a_2|=|a_1+1|,|a_3|=|a_2+1|,gt,|an|=|a_(n-1)+1| . Prove that the arithmetic mean (a_1+a_2+……..+a_n)/n of these numbers cannot be les then - 1/2.