Suppose four distinct positive numbers `a_1,a_2,a_3,a_4` are in G.P. Let `b_1=a_1,b_2=b_1+a_2,b_3=b_2+a_3` and `b_4=b_3+a_4`.
Statement -1 : The numbers `b_1,b_2,b_4` are neither in A.P. nor in G.P. and
Statement -2 : The numbers `b_1,b_2,b_3,b_4` are in H.P.

Options

A. Statement (1) is true and statement (2) is true and statement (2) is correct explanation for (1)
B. Statement (1) is true and statement (2) is true and statement (2) is NOT correct explanation for (1)
C. Statement (1) is true but (2) is false
D. Statement (1) is false but (2) is true .

Answer

C