EXAMPLE OF A.P

1,3,9 can be terms of (A) an A.P.but not of a G.P (B) G.P. but not of an A.P. (C) A.P. and G.P both (D) neither A.P nor G.P

If a-b,ax-by,ax^2-by^2a,b!=0) are in G.P., then x,y (ax-by)/(a-b) are in (A) A.P. only (B) G.P.only (C) A.P., G.P. (D) A.P., and G.P and H.P

The 7t h term of an A.P. is 32 and its 13 t h term is 62. Find the A.P.

The sum of the first three terms of an A.P. is 36 while their product is 1620. Find the A.P.

If the 5^(th) and 11^(th) terms of an A.P. are 16 and 34 respectively. Find the A.P.

(a) The 3rd and 19th terms of an A.P. are 13 and 77 respectively. Find the A.P. (b) The 5th and 8th terms of an A.P. are 56 and 95 respectively. Find the 25th term of this A.P. (c) The pth and qth terms of an A.P. are q and p respectively. Prove that its (p + q)th term will be zero.

Find all sequences which are simultaneously A.P. and G.P.

If the pth term of an A.P. is (2p+3), find the A.P.

If the cotangents of half the angles of a triangle are in A.P., then prove that the sides are in A.P.