设数列{an}是单调递增的等差数列,前三项的和为12,前三项的积为48,则a1=(  )A.1B.2C.±2D.

2025-05-06 03:53:27
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回答1:

∵数列{an}是单调递增的等差数列,前三项的和为12,
∴3a2=12,解得a2=4,设其公差为d,则d>0.
∴a1=4-d,a3=4+d,
∵前三项的积为48,
∴4(4-d)(4+d)=48,
解得d=2或d=-2(舍去),
∴a1=4-2=2,
故选:B.