If m times the mth term of an A.P. is equal to n times the nth term and `m!=n`, show that its (m+n)th term is zero.

If m times the mth term of an AP is equal to n times its nth term, then show that (m + n)th term of an AP is zero.

If five times the fifth term of an A.P. is equal to 8 times its eighth term, show that its 13 t h term is zero.

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

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

If 10 times the 10th term of an A.P. is equal to 15 times the 15th term, show that 25th term of the A.P. is zero.

If 7 times the 7th term of an A.P. is equal to 11 times its 11th term, show that the 18th term of the A.P. is zero.

If p times the pth terms of an A.P. is equal to q times the qth term prove that ( p+ q) th terms is zero .

If the m^(th) term of an H.P. is n and the n^(th) term is m, show that its (mn)^(th) term is 1.

If the mth term of an A.P. be 1//n and nth term be 1//m then show that its ( m n )th term is 1.

If 7 times the 7th term of an A.P. is equal to 11 times its eleventh term then the 18th term of the A.P. is ___