For an `A.P`, show that `t_m+t_(2n)+m=2t_(m+n)`

For an A.P.show that t_(m+n)+t_(m-n)=2t_(m)

In an A.P., prove that : T_(m+n) + T_(m-n) = 2*T_(m)

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

If S_n denotes the sum of first n terms of an A.P. such that (S_m)/(S_n)=(m^2)/(n^2), t h e n(a_m)/(a_n)= a.(2m+1)/(2n+1) b. (2m-1)/(2n-1) c. (m-1)/(n-1) d. (m+1)/(n+1)

if the sum of m terms of an A.P is to the sum of n terms as m^(2) to n^(2) show that the mth term is to the n th term as 2m-1 to 2n-1

If the A.M. between p^(th) and q^(th) terms of an A.P. , be equal to the A.M., between m^(th) and n^(th) terms of the A.P. , then show that p + q = m + n .

Let S_(n) and Delta_(n) be the sum of first n terms of 2 A. P' s whose rth term are T_(r) and t_(r) respectively.If (S_(n))/(Delta_(n))=(2n+5)/(3n+2) then (T_(11))/(t_(11))=(m_(1))/(m_(2)) where m_(1) and m_(2) are coprime. Find the value of (m_(2)-m_(1))/(2)=

If m times the m^(th) term of an A.P. is equal to n times its n^(th) term , then show that (m+n)^(th) term of the A.P. is zero .

In an A.P. if a=2, t_(n)=34 ,S_(n) =90 , then n=

If in an A.P. {t_(n)} , it is given that p. t_(p)=q.t_(q) then : t_(p+q)= cdots