If is `a_n` arithmetic sequence, then `|[a_m , a_n , a_p] , [m ,n ,p] , [1,1,1]|`equals to

In an arithmetic sequence a_(1),a_(2),a_(3), . . . . .,a_(n) , Delta=|{:(a_(m),a_(n),a_(p)),(m,n,p),(1,1,1):}| equals

In an arithmetic sequence a_(1),a_(2),a_(3), . . . . .,a_(n) , Delta=|{:(a_(m),a_(n),a_(p)),(m,n,p),(1,1,1):}| equals

Let sequence by defined by a_1=3,a_n=3a_(n-1)+1 for all n >1

If the sequence a_n is A.P., show that a_(m+n)+a_(m-n)=2a_mdot\

Show that the sequence defined by a_n=2n^2+1 is not an A.P.

Show that the sequence defined by a_n=3n^2-5 is not an A.P.

Find the sum to n terms of the sequence {a_n} , where a_n=5-6n, n in N .

The n^(th) term of an arithmetic sequence is a_n =5-6n.Find its sum of n terms?