A B C D
If a,b,c are in A.P then a+c = 2b a,c both are odd or both are even case (i) if n is even let
No. of ways mC2+mC2=2m(m−1)2
=nn−24
Case (ii)
No.of ways =n−124
Number of ways in which three numbers in A.P. can be selected from 1,2,3, ……, n is
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