Show that the sum of `(m+n)^(th)` and `(m -n)^(th)` terms of an A.P. is equal to twice the ` m^(th)` term.

If 5 times the 5^(th) term of an A.P. is equal to 7 times the 7^(th) term, find its 12^(th) term.

The sum of the 4^(th) and 8^(th) term of an AP is 24 and the sum of the 6^(th) and 10^(th) terms is 44. Find the first three terms of the A.P

If (p+q)^(th) term of an A.P. is m and (p-q)th term is n, then the pth term is:

The 7th term of an A.P. is zero. Prove that 25th term is twice the 16th term.

The ratio of the sums of m and n terms of an A.P. is m^2: n^2 . Show that the ratio of m^(th) and n^(th) term is (2m - 1 ) : (2n -1).

Show that the sequence whose n^(th) term is 2n^2 + n + 1 is not an A.P.

If 7th and 13th terms of an A.P. be 34 and 64 respectively, then its 18th term is:

Show that the ratio of the sum of first n terms of a G.P. to the sum of terms from (n+ 1)th to (2n)th term is 1/r^n .

The 6th term of an A.P. is 12 and the 8th term is 22, Find the 10th term.