EXAMPLES OF A.P LECTURE 4

If the square of differences of three numbers be in A.P., then their differences re in (A) A.P. (B) G.P. (C) H.P. (D) none of these

If a, b and c are in A.P. show that : (i) 4a, 4b and 4c are in A.P. (ii) a + 4, b + 4 and c + 4 are in A.P.

In the A.P. nth term of an A.P. is given by (-4n + 15). Find the sum of first 20 terms of A.P.

The nth term of an A.P. is 4n -1 . Write down the first 4 terms and the 18 th term of the A.P..

The sum of the 4th and the 8th terms of an A.P. is 24 and the sum of the 6th and the 10th terms of the same A.P. is 44. Find the first three terms of the A.P.

The sum of first n terms of an A.P. is 3n^2+4n . Find the 25 t h term of this A.P.

The sum of the first n terms of an A.P. is 4n^2+2n . Find the n t h term of this A.P.

The sum of 4th and 8th terms of an A.P. is 24 and the sum of 6th and 10th terms is 44. Find the A.P.

The sum of first seven terms of an A.P is 182. If its 4^(th) term and 17^(th) term are in the ratio 1:5 then Find the 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