Provethat the average of the numbers `n sin n^@`, n = 2,4,6...180 is `cot 1^@`

Provethat the average of the numbers n sin n^(@),n=2,4,6...180 is cot1^(@)

Let S_(n) be the average of the multiples of n between 1 and 101, and n in{2,3,4,5,6} .Find the value of n such that S_(n) is the largest.

if 6n tickets numbered 0126n-1 are placed in a bag and three are drawn out,show that the chance that the sum of the numbers on them is equal to 6n is (3n)/((6n-1)(6n-2))

The arithmetic mean of the numbers 2sin2^(@), 4sin4^(@), 6 sin 6^(@), …………. 178 sin 178^(@), 180 sin 180^(@)

If the average of m numbers is n^(2) and that of n numbers is m^(2) ,then the average of (m+n) numbers is m-n (b) mn(c)m+n (d) (m)/(n)

The average of numbers N1 and N2 is 17. The average of numbers N2 and N3 is 44. What is the difference between N3 and N1?