Home
Class 12
MATHS
Show that the number of ways in which th...

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.

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

Number of ways in which three numbers in A.P. can be selected from 1,2,3,..., n is a. ((n-1)/2)^2 if n is even b. n(n-2)/4 if n is even c. (n-1)^2/4 if n is odd d. none of these

Number of ways in which three numbers in A.P. can be selected from 1,2,3,..., n is a. ((n-1)/2)^2 if n is even b. n(n-2)/4 if n is even c. (n-1)^2/4 if n is odd d. none of these