If the numbers `1,1/2,1/3,1/4,….1/n` have frequencies 1,2,3,4…n respectively then find their arithmetic mean.

If S_(1), S_(2), S_(3),...S_(n) are the sums of infinite geometric series, whose first terms are 1,2,3,...n whose ratios are (1)/(2),(1)/(3),(1)/(4) ,...(1)/(n+1) respectively, then find the value of S_(1)^(2)+S_(2)^(2)+S_(3)^(2)+...+S_(2n-1)^(2) .

If s_1 ,s_2 and s_3 are the sum of first n,2n,3n terms respectively of an arithmetic progression, then show that s_3=3(s_2-s_1) .

Two consecutive numbers from 1,2,3,.....,n are removed, then arithmetic mean of the remaining numbers is 105/4, then n/10 must be equal to

Find the harmonic mean of 1, 1/2, 1/3, 1/n.

If S_(1), S_(2), S_(3),…., S_(n) are the sums to infinity of n infinte geometric series whose first terms are 1,2,3,… n and whose common ratios are (1)/(2), (1)/(3), (1)/(4), ….(1)/(n+1) respectively, show that, S_(1) + S_(2) + S_(3) +…S_(n) = (1)/(2)n(n+3)

The arithmetic mean of the numbers 1, 2, 3, ...., n is

The arithmetic mean of 1, 2, 3, ……., n is___

Find the harmonic mean of 1, 1/2. 1/3,………..1/n

Show that if n_(1) , n_(2) , n_(3) , n_(4) .... are the fundamental frequencies of the segments into which a string is divided by placing a number of bridges below it . The frequency of the string is given by (1)/(n) = (1) /(n_(1)) + (1)/(n_(2)) + (1)/(n_(3))+ ...