" If the first three terms of an A.P are b,c and 2b,then find the ratio of b and c "

If the first three terms of an A.P. are b, c and 4b, then find the ratio of b and c.

The sum of the first three terms of an A.P is 33 . If the product of the first terms and third term exceeds the 2nd term by 29 then find the A.P . The pth qth and rth term of an A.P . Are a b and c respectively . Prove that a (q-r)+ b(r-P)+c(p-q)=0

Let a,b and c be in G.P. with common ratio r, where a != 0 and 0 lt r le (1)/(2) . If 3a, 7b and 15c are the first three terms of an A.P., then the 4^(th) term of this A.P. is

If the first, second and the last terms of an A.P. are a,b,c respectively, then the sum of the A.P. is

If the first, second and the last terms of an A.P. are a,b,c respectively, then the sum of the A.P. is

Let a, b and c be in GP with common ratio, r where a !=0 and 0 lt r le (1)/(2) . If 3a, 7b and 15 c are the first three terms of an AP, then the 4th term of this AP is

Let a, b and c be in GP with common ratio, r where a !=0 and 0 lt r le (1)/(2) . If 3a, 7b and 15 c are the first three terms of an AP, then the 4th term of this AP is

If the sides a, b, c of a triangle are in A.P., then find the value of tan frac (A)(2)+ tan frac (C)(2) in terms of cot frac (B)(2) .

32. The integers 2, a, b, c, 160 are such that the first three terms in A.P. while the last three terms are in GP. Ifthe common ratio ofthe G.P. and common difference of the A.P are equal, then the value of a +b+ c is (A) 56 (B) 64 (C) 72 (D) None of these

Suppose 1/(a+b),1/(2b),1/(b+c) are three consecutive terms of an AP. Prove that a,b,c are the consecutive terms of a G.P.