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

If 5 times the fifth term of an A.P. .is equal to 8 times its eight term, show that 13th term is zero.

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

The pth term of an A.P. is q and qth term is p . Show that the nth term is p+q-n .

the 6th term of an A.P. is -10 and its 10th term -26 determine the 15 term of the A.P.

If the sum upto 21st term of an A.P. is 630, determine the 11th term.

The sum of the pth and the qth term of an A.P. is equal to the sum of rth and sth term of it. Show that (p-r)th term and (s-q)th terms are equal

The sum of first P terms of an A.P. is equal to that of the first Q terms. Prove that the sum of first (P+Q) terms is zero.

If the 9th term of an A.P is zero,prove that 29th term is double the 19th term.

The sum of the pth and qth term of an A.P. is one, and rth term is one. Show that the pth term is frac(q-r)(p+q-2r)

If the qth term of an A.P is twice the pth term and rth term is twice the qth term. prove that 2p+r=3q