Let A1, A2, A3, …, Am be the arithmetic means between -2 and 1027 and G1, G2, G3, …, Gn be the geometric means between 1 and 1024. Product of the geometric means is 245 and the sum of arithmetic means is 1025 x 171.
1. The common difference of the progression A1, A3, A5, …, Am-1 is
(A) 6
(B) 3
(C) 2
(D) 1
2. The numbers 2 A171, G25 + 1, 2A172 are in
(A) AP
(B) GP
(C) HP
(D) AGP