SOLUTION: Find the first 5 terms of the recursive sequence. A1=3 An=2an-1-3

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Question 1006819: Find the first 5 terms of the recursive sequence. A1=3 An=2an-1-3
Answer by jim_thompson5910(35256) About Me  (Show Source):
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a%5B1%5D=3


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a%5Bn%5D+=+2%2Aa%5Bn-1%5D-3


a%5B2%5D+=+2%2Aa%5B2-1%5D-3


a%5B2%5D+=+2%2Aa%5B1%5D-3


a%5B2%5D+=+2%2A3-3


a%5B2%5D+=+6-3


a%5B2%5D+=+3


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a%5Bn%5D+=+2%2Aa%5Bn-1%5D-3


a%5B3%5D+=+2%2Aa%5B3-1%5D-3


a%5B3%5D+=+2%2Aa%5B2%5D-3


a%5B3%5D+=+2%2A3-3


a%5B3%5D+=+6-3


a%5B3%5D+=+3


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a%5Bn%5D+=+2%2Aa%5Bn-1%5D-3


a%5B4%5D+=+2%2Aa%5B4-1%5D-3


a%5B4%5D+=+2%2Aa%5B3%5D-3


a%5B4%5D+=+2%2A3-3


a%5B4%5D+=+6-3


a%5B4%5D+=+3


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a%5Bn%5D+=+2%2Aa%5Bn-1%5D-3


a%5B5%5D+=+2%2Aa%5B5-1%5D-3


a%5B5%5D+=+2%2Aa%5B4%5D-3


a%5B5%5D+=+2%2A3-3


a%5B5%5D+=+6-3


a%5B5%5D+=+3


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It turns out that every term of this sequence is 3


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The first five terms are: 3, 3, 3, 3, 3