In an A.P. if `m^ (th) ` term is `n` and the `n^(th)` term is `m`, where `m ne n`, find the. `p^ (th) ` term.

In an AP if m^th term is 'n' and n^th term is 'm', find the (m+n)^th term.

If p^th term of an AP is 'q' and q^th term is 'p', where p ne q find r^th term.

In an AP, if the m^th term is 'n' and the n^th term is 'm', prove that its p^th term is n+m-p .

In an A.P., if 5 ^(th) term is (1)/(7) and 7^(th) term is (1)/(5), then the sum of first 35 terms is

In a.G.P., the 3^( rd ) term is 24 and the 6^ (th) term is 192 . Find the 10^ (th) term.

Find the n^(th) term of the sequence 3,5,7,………

Find the r^ (th) term from the end in the expansion of (x+a)^n .

If the m^th terms of an AP is 1/n and the n^th term is 1/m , prove that the sum of the first mn terms is 1/2(mn+1)

The common difference of the arithmetic sequence 15, 14, 13, 12,......is 14-15=-1. First term of the sequence is 15 and the 15^(th) term is 15 + 14 xx-1= 15-14=1 . Similarly the 4^(th) term is 12 and the 12^(th) term is 4. Its 16^(th) term is x_16 = 15 + 15xx-1= 15-15 = 0 . So the sum of the first 31 terms is also zero. That is if then n^(th) term of an arithmetic sequence with common difference -1 is m, then the m^(th) term is n and the (m + n)^(th) term is zero. 7^(th) term of an arithmetic sequence is 10 and the 10^(th) term is 7. What is the common difference?

Find the n^(th) term of the A.P 84, 80,76,.....