The common difference of the A.P. `1/(2b),(1-6b)/(2b),(1-12 b)/(2b),...` is `2b` (b) `-2b` (c) `3` (d) `-3`

The common difference of the AP (1)/(3), (1-3b)/(3), (1-6b)/(3) ,… is

The common difference of the A.P. 1/3,(1-3b)/3,(1-6b)/3,\ dot is 1/3 (b) -1/3 (c) b (d) b

If a^(2),b^(2),c^(2) are in A.P.,then prove that the following are also in A.P.(i) (1)/(b+c),(1)/(c+a),(1)/(a+b) (ii) (a)/(b+c),(b)/(c+a),(c)/(a+b)

If a,b,c are in G.P. then prove that (1)/(a+b),(1)/(2b),(1)/(b+c) are also in A.P.

If (a)/(b)=(4)/(3), then (3a+2b)/(3a-2b)=?( a) -1 (b) 3 (c) 5(d)6

We know that, if a_1, a_2, ..., a_n are in H.P. then 1/a_1,1/a_2,.....,1/a_n are in A.P. and vice versa. If a_1, a_2, ..., a_n are in A.P. with common difference d, then for any b (>0), the numbers b^(a_1),b^(a_2),b^9a_3),........,b^(a_n) are in G.P. with common ratio b^d. If a_1, a_2, ..., a_n are positive and in G.P. with common ration, then for any base b (b> 0), log_b a_1 , log_b a_2,...., log_b a_n are in A.P. with common difference logor.If x, y, z are respectively the pth, qth and the rth terms of an A.P., as well as of a G.P., then x^(z-x),z^(x-y) is equal to

If a, b, c are in GP, prove that 1/((a+b)), 1/(2b), 1/(b+c) are in AP.