Show thast the sequence `(t_n)` defined by `t_n = x+(2n-1)b, where x and b` are constants, is an A.P. Fid its common difference.

Show thast the sequence (t_(n)) defined by t_(n)=x+(2n-1)b, wherex and b are constants,is an A.P.Fid its common difference.

Show that the sequence defined by a_(n) = m + (2n - 1) d, where m and d are constants , is an A.P. Find its common difference .

Show that the sequence defined by a_(n) = m + (2n - 1)d , where m and d are constants , is an A.P. Find its common difference .

Show that the sequence t n defined by t n = 3 n + 1 is an AP.

Show that the sequence t_(n) defined by t_(n)=2*3^(n)+1 is not a GP.

Show that the sequence t_(n) defined by t_(n)=2*3^(n)+1 is not a GP.

Show that the sequence t_(n) defined by t_(n)=2*3^(n)+1 is not a GP.

Show that the sequence t_(n) defined by t_(n)=2*3^(n)+1 is not a GP.

Show that the sequence t_(n) defined by t_(n)=2*3^(n)+1 is not a GP.

A sequence is called an A.P if the difference of a term and the previous term is always same i.e if a_(n+1)- a_(n)= constant ( common difference ) for all n in N For an A.P whose first term is 'a ' and common difference is d is S_(n) = n/2 (2a +(n-1)d)=n/2 (a+a+(n-1)d)= n/2 (a+l) A sequence whose n^(th) term is given by t_(n) = An + N , where A,B are constants , is an A.P with common difference