In △ ABC, a, B and C are the opposite sides of ∠ a, B and C respectively. If a, B and C form an arithmetic sequence, ∠ B = 30 ° and the area of △ ABC is 32, then B is equal to () A. 1+32B. 1+3C. 2+32D. 2+3

∵ a, B and C are in a sequence of equal difference numbers, where ∵ 2B = a + C, A2 + C2 = 4b2-2ac is obtained, and ∵ ABC has an area of 32 and ∵ B = 30 °, so AC = 6 and ∵ A2 + C2 = 4b2-12 are obtained from s △ ABC = 12acsin B = 12acsin 30 ° = 14ac = 32 and CoSb = A2 + C2 − b22ac = 4B2 − 12 − B22 × 6 = B

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