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 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

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

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

If the first terms, second term and the last term of an A.P. are respectively a,b and c.Prove that the sum of the series is [(a+c)(b+c-2a)]/[2(b-a)] .