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已知数列{An}的前n项和为Sn,且满足A1=2,AnAn+1=4Sn对任意n属于正整数都成立..求A2,A3,A4.

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已知数列{An}的前n项和为Sn,且满足A1=2,AnAn+1=4Sn对任意n属于正整数都成立..求A2,A3,A4.
已知数列{An}的前n项和为Sn,且满足A1=2,AnAn+1=4Sn对任意n属于正整数都成立..求A2,A3,A4.
A1A2 = 4S1
2A2 = 8 => A2 = 4 S2 = 6
A2A3 = 4S2 = 24 => A3 = 6 S3 = 12
A3A4 = 4S3 = 48 => A4 = 8