If an A.P. and a G.P. have the same 1st and 2nd terms then show that every other term of the A.P. will be less than the corresponding term of G.P. all the terms being positive.

An A.P., and a H.P. have the same first and last terms and the same odd number of terms. The middle terms of the three series are in

In a given A.P..If the p th term is q and q th term is p then show that n th term is p+q-n

The 11th term of an A.P. is 60 less than the 31st term of an A.P. . Find the common difference.

If 7th term of an A.P. is 9 and 9th term of the A.P. is 7, then 20th term of the A.P. is

The 9th term of the A.P. is 499 and the 499th term is 9. Which term of this A.P. is zero ?

The sum of the fist ten terms of an A.P. , equals 155 and the sum of the first two terms of a G.P. equals 9. The first term of the A.P. is equal to the common ratio of the G.P. and the common difference of the A.P. is equal to the first term G.P.. Give that the common difference of the A.P. is less then unity, which of the following is correct ?

In an A.P., the last term is 28 and the sum of all the 9 terms of the A.P. is 144. Find the first term.

Which term of the A.P.3,15,27,39,... will be 120 more than its 21 st term?

The 12th term of an A.P. is 14 more than the 5th term. The sum of these terms is 36. Find the A.P.