The number of ways in which three numbers in arithmetic progression can be selected from `{1, 2, 3, ………., 50}` is

Show that the number of ways in which three numbers in arithmetical progresssion can be selected from 1,2,3,……..n is 1/4(n-1)^(2) or 1/4n(n-2) according as n is odd or even.

Show that the number of ways in which three numbers in arithmetical progresssion can be selected from 1,2,3,……..n is 1/4(n-1)^(2) or 1/4n(n-2) according as n is odd or even.

Given that n is odd, number of ways in which three numbers in AP can be selected from 1, 2, 3,……., n, is

Given that n is odd, number of ways in which three numbers in AP can be selected from 1, 2, 3,……., n, is

The number of ways in which three distinct numbered in an increasing A.P. can be selected from the set {1,2,3……24} is

Number of ways in which three numbers in A.P. can be selected from 1,2,3,..., n is

Number of ways in which three numbers in AP can be selected from 1,2,3, . .,n is

Number of ways in which three numbers in AP can be selected from 1,2,3, . .,n is

Given that n is the odd the number of ways in which three numbers in A.P. can be selected from {1,2,3,4….,n} is