EXAMPLES OF A.P LECTURE 5

(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.

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

Is 313, a term of the A.P. 5, 10, 15, ..... ?

If the 5th term of an A.P. is 31 and 25th term is 140 more than the 5th term, find the A.P.

In a /_\ABC, tan\ A/2 = 5/6 and tan\ C/2 = 2/5 then (A) a,c,b are in A.P. (B) a,b,c are in A.P. (C) b,a,c are in A.P. (D) a,b,c are in G.P.

The first term of an A.P. is 5 and its 100 t h term is -292 . Find the 50 t h term of this A.P.