[" (a) - "2," (b) "2," (c) "-1" d) "],[" 1.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.

If a= 2b/3, b= 2c/3, and c=2d/3, then find the ratio of b and d:

If pth,qth and rth terms of an A.P.are a,b,c respectively,then show that (i) a(q-r) +b(r- p) +c(p-q)=0

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 pth,qth,and rth terms of an A.P.are a,b,c, respectively,then show that (a-b)r+(b-c)p+(c-a)q=0

If a+c = 2b and 2/c= 1/b+1/d then prove that a:b = c:d.

If 1/(a+b),1/(2b),1/(b+c) are three consecutive terms of an A.P., prove that a ,b ,c are the three consecutive terms of a G.P.

If (1)/(a+b),(1)/(2b),(1)/(b+c) are three consecutive terms of an A.P.prove that a,b,c are the three consecutive terms of a G.P.

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.

If a,b,c are first three terms of a G.P.If the harmonic mean of a and b is 20 and arithmetic mean of b&c is 5, then no term of this G.P.is square of an integer arithmetic mean of a,b,c is 5 c.b=+-6 d.common ratio of this G.P.is 2