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 a,b, and c are three consecutive terms of an A.P, prove that k^(a),k^(b) and k^(c) are three consecutive terms of a G.P. Assume k to be a non zero real number.

If 4/5,\ a ,\ 2 are three consecutive terms of an A.P., then find the value of a .

Show that (a-b),a and (a+b) form consecutive terms of an A.P.

If k, 2k-1 and 2k+1 are three consecutive terms of an A.P., find the value of k.

If k ,\ 2k-1 and 2k+1 are three consecutive terms of an A.P., the value of k is

" If "a,b,c" are three consecutive terms of an "AP" and "x,y,z" are three consecutive terms of a GP,then the value of "x^(b-c)*y^(c-a)*z^(a-b)" is "

If p, 2p - 1, 2p + 1 are three consecutive terms of an A.P., then what is the value of p ?

If the sum of three consecutive terms of a G.P. is 38 and their product is 1728, then find these three consecutive terms.

For what value of p are 2p+1,\ 13 ,\ 5p-3 are three consecutive terms of an A.P.?